{"id":624291,"date":"2026-11-15T08:37:16","date_gmt":"2026-11-15T01:37:16","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=624291"},"modified":"2026-11-15T08:37:16","modified_gmt":"2026-11-15T01:37:16","slug":"co-bao-nhieu-so-tu-nhien-co-4-chu-so","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/co-bao-nhieu-so-tu-nhien-co-4-chu-so\/","title":{"rendered":"C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1? C\u00e1ch \u0111\u1ebfm v\u00e0 b\u00e0i t\u1eadp"},"content":{"rendered":"<p><strong>C\u00f3 9.000 s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1, t\u1eeb 1.000 \u0111\u1ebfn 9.999.<\/strong> B\u1ea1n c\u00f3 th\u1ec3 t\u00ednh theo c\u00f4ng th\u1ee9c s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y: (9.999 \u2212 1.000) : 1 + 1 = 9.000, ho\u1eb7c theo quy t\u1eafc nh\u00e2n: ch\u1eef s\u1ed1 h\u00e0ng ngh\u00ecn c\u00f3 9 c\u00e1ch ch\u1ecdn (t\u1eeb 1 \u0111\u1ebfn 9), ba h\u00e0ng c\u00f2n l\u1ea1i m\u1ed7i h\u00e0ng c\u00f3 10 c\u00e1ch, n\u00ean c\u00f3 9 \u00d7 10 \u00d7 10 \u00d7 10 = 9.000 s\u1ed1. Trong 9.000 s\u1ed1 \u0111\u00f3 c\u00f3 4.536 s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau, 4.500 s\u1ed1 ch\u1eb5n v\u00e0 4.500 s\u1ed1 l\u1ebb. Ph\u1ea7n d\u01b0\u1edbi \u0111\u00e2y t\u1ed5ng h\u1ee3p c\u00e1ch \u0111\u1ebfm cho t\u1eebng d\u1ea1ng b\u00e0i th\u01b0\u1eddng g\u1eb7p t\u1eeb ti\u1ec3u h\u1ecdc \u0111\u1ebfn l\u1edbp 11, k\u00e8m b\u1ea3ng k\u1ebft qu\u1ea3, l\u1ed7i hay m\u1eafc v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.<\/p>\n<h2>Hi\u1ec3u \u0111\u00fang &#8220;s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1&#8221; tr\u01b0\u1edbc khi \u0111\u1ebfm<\/h2>\n<p>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng abcd, trong \u0111\u00f3 ch\u1eef s\u1ed1 h\u00e0ng ngh\u00ecn a ph\u1ea3i kh\u00e1c 0.<\/p>\n<ul>\n<li>S\u1ed1 0234 th\u1ef1c ch\u1ea5t l\u00e0 s\u1ed1 234, ch\u1ec9 c\u00f3 3 ch\u1eef s\u1ed1.<\/li>\n<li>Ch\u1eef s\u1ed1 h\u00e0ng tr\u0103m, ch\u1ee5c, \u0111\u01a1n v\u1ecb (b, c, d) \u0111\u01b0\u1ee3c ph\u00e9p b\u1eb1ng 0.<\/li>\n<li>S\u1ed1 nh\u1ecf nh\u1ea5t c\u00f3 4 ch\u1eef s\u1ed1 l\u00e0 1.000, s\u1ed1 l\u1edbn nh\u1ea5t l\u00e0 9.999.<\/li>\n<li>S\u1ed1 nh\u1ecf nh\u1ea5t c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau l\u00e0 1.023, l\u1edbn nh\u1ea5t l\u00e0 9.876.<\/li>\n<\/ul>\n<p>H\u1ea7u h\u1ebft l\u1ed7i sai khi \u0111\u1ebfm \u0111\u1ec1u \u0111\u1ebfn t\u1eeb vi\u1ec7c qu\u00ean \u0111i\u1ec1u ki\u1ec7n a \u2260 0, nh\u1ea5t l\u00e0 trong c\u00e1c b\u00e0i c\u00f3 ch\u1eef s\u1ed1 0 n\u1eb1m trong t\u1eadp ch\u1eef s\u1ed1 cho tr\u01b0\u1edbc.<\/p>\n<h2>B\u1ea3ng k\u1ebft qu\u1ea3 c\u00e1c d\u1ea1ng \u0111\u1ebfm s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1<\/h2>\n<p>B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y gom c\u00e1c d\u1ea1ng c\u00e2u h\u1ecfi ph\u1ed5 bi\u1ebfn nh\u1ea5t, gi\u00fap b\u1ea1n tra nhanh \u0111\u00e1p s\u1ed1 v\u00e0 c\u00e1ch t\u00ednh.<\/p>\n<table>\n<thead>\n<tr>\n<th>Y\u00eau c\u1ea7u<\/th>\n<th>C\u00e1ch t\u00ednh<\/th>\n<th>K\u1ebft qu\u1ea3<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1<\/td>\n<td>9 \u00d7 10 \u00d7 10 \u00d7 10<\/td>\n<td>9.000<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau<\/td>\n<td>9 \u00d7 9 \u00d7 8 \u00d7 7<\/td>\n<td>4.536<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 \u00edt nh\u1ea5t 2 ch\u1eef s\u1ed1 gi\u1ed1ng nhau<\/td>\n<td>9.000 \u2212 4.536<\/td>\n<td>4.464<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1<\/td>\n<td>9 \u00d7 10 \u00d7 10 \u00d7 5<\/td>\n<td>4.500<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 l\u1ebb c\u00f3 4 ch\u1eef s\u1ed1<\/td>\n<td>9 \u00d7 10 \u00d7 10 \u00d7 5<\/td>\n<td>4.500<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau<\/td>\n<td>504 (t\u1eadn c\u00f9ng 0) + 1.792 (t\u1eadn c\u00f9ng 2, 4, 6, 8)<\/td>\n<td>2.296<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 l\u1ebb c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau<\/td>\n<td>5 \u00d7 8 \u00d7 8 \u00d7 7<\/td>\n<td>2.240<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 chia h\u1ebft cho 5<\/td>\n<td>9 \u00d7 10 \u00d7 10 \u00d7 2<\/td>\n<td>1.800<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau chia h\u1ebft cho 5<\/td>\n<td>504 (t\u1eadn c\u00f9ng 0) + 448 (t\u1eadn c\u00f9ng 5)<\/td>\n<td>952<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 chia h\u1ebft cho 3<\/td>\n<td>(9.999 \u2212 1.002) : 3 + 1<\/td>\n<td>3.000<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 chia h\u1ebft cho 4<\/td>\n<td>(9.996 \u2212 1.000) : 4 + 1<\/td>\n<td>2.250<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 chia h\u1ebft cho 9<\/td>\n<td>(9.999 \u2212 1.008) : 9 + 1<\/td>\n<td>1.000<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 chia h\u1ebft cho c\u1ea3 2 v\u00e0 5<\/td>\n<td>9 \u00d7 10 \u00d7 10 \u00d7 1<\/td>\n<td>900<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 kh\u00f4ng ch\u1ee9a ch\u1eef s\u1ed1 0<\/td>\n<td>9 \u00d7 9 \u00d7 9 \u00d7 9<\/td>\n<td>6.561<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 ch\u1ee9a \u00edt nh\u1ea5t m\u1ed9t ch\u1eef s\u1ed1 5<\/td>\n<td>9.000 \u2212 8 \u00d7 9 \u00d7 9 \u00d7 9<\/td>\n<td>3.168<\/td>\n<\/tr>\n<tr>\n<td>S\u1ed1 \u0111\u1ed1i x\u1ee9ng d\u1ea1ng abba<\/td>\n<td>9 \u00d7 10<\/td>\n<td>90<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>C\u00e1c k\u1ebft qu\u1ea3 tr\u00ean \u0111\u00e3 \u0111\u01b0\u1ee3c ki\u1ec3m tra l\u1ea1i b\u1eb1ng c\u00e1ch \u0111\u1ebfm tr\u1ef1c ti\u1ebfp to\u00e0n b\u1ed9 c\u00e1c s\u1ed1 t\u1eeb 1.000 \u0111\u1ebfn 9.999.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-624293\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-3.jpg\" alt=\"co-bao-nhieu-so-tu-nhien-co-4-chu-so-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1ch 1: \u0110\u1ebfm theo c\u00f4ng th\u1ee9c s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y<\/h2>\n<p>C\u00e1ch n\u00e0y ph\u00f9 h\u1ee3p v\u1edbi h\u1ecdc sinh ti\u1ec3u h\u1ecdc v\u00e0 c\u00e1c d\u1ea1ng &#8220;c\u00f3 bao nhi\u00eau s\u1ed1 ch\u1eb5n, s\u1ed1 l\u1ebb, s\u1ed1 chia h\u1ebft cho\u2026&#8221;. C\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1 t\u1ea1o th\u00e0nh d\u00e3y li\u00ean ti\u1ebfp: 1.000; 1.001; &#8230;; 9.999. \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/p>\n<p><strong>S\u1ed1 s\u1ed1 h\u1ea1ng = (S\u1ed1 cu\u1ed1i \u2212 S\u1ed1 \u0111\u1ea7u) : Kho\u1ea3ng c\u00e1ch + 1<\/strong><\/p>\n<p>= (9.999 \u2212 1.000) : 1 + 1 = 9.000 s\u1ed1.<\/p>\n<p>V\u1edbi d\u00e3y c\u00e1ch \u0111\u1ec1u c\u00f3 \u0111i\u1ec1u ki\u1ec7n, b\u1ea1n ch\u1ec9 c\u1ea7n x\u00e1c \u0111\u1ecbnh \u0111\u00fang s\u1ed1 \u0111\u1ea7u, s\u1ed1 cu\u1ed1i v\u00e0 kho\u1ea3ng c\u00e1ch:<\/p>\n<ul>\n<li>S\u1ed1 ch\u1eb5n: (9.998 \u2212 1.000) : 2 + 1 = 4.500 s\u1ed1.<\/li>\n<li>S\u1ed1 l\u1ebb: (9.999 \u2212 1.001) : 2 + 1 = 4.500 s\u1ed1.<\/li>\n<li>S\u1ed1 chia h\u1ebft cho 3: (9.999 \u2212 1.002) : 3 + 1 = 3.000 s\u1ed1.<\/li>\n<li>S\u1ed1 chia h\u1ebft cho 5: (9.995 \u2212 1.000) : 5 + 1 = 1.800 s\u1ed1.<\/li>\n<\/ul>\n<p>T\u1eeb d\u00e3y c\u00e1ch \u0111\u1ec1u, b\u1ea1n c\u0169ng t\u00ednh \u0111\u01b0\u1ee3c t\u1ed5ng t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1: (1.000 + 9.999) \u00d7 9.000 : 2 = 49.495.500.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-624294\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-1.jpg\" alt=\"co-bao-nhieu-so-tu-nhien-co-4-chu-so-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1ch 2: \u0110\u1ebfm theo quy t\u1eafc nh\u00e2n<\/h2>\n<p>Quy t\u1eafc nh\u00e2n d\u00f9ng \u0111\u01b0\u1ee3c cho m\u1ecdi d\u1ea1ng c\u00f3 \u0111i\u1ec1u ki\u1ec7n v\u1ec1 ch\u1eef s\u1ed1, l\u00e0 n\u1ec1n t\u1ea3ng c\u1ee7a ch\u01b0\u01a1ng t\u1ed5 h\u1ee3p \u1edf l\u1edbp 10\u201311. G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 abcd (a \u2260 0):<\/p>\n<ul>\n<li>a c\u00f3 9 c\u00e1ch ch\u1ecdn (1, 2, &#8230;, 9).<\/li>\n<li>b, c, d m\u1ed7i ch\u1eef s\u1ed1 c\u00f3 10 c\u00e1ch ch\u1ecdn (0, 1, &#8230;, 9).<\/li>\n<\/ul>\n<p>Theo quy t\u1eafc nh\u00e2n, c\u00f3 9 \u00d7 10 \u00d7 10 \u00d7 10 = 9.000 s\u1ed1. Mu\u1ed1n \u00f4n k\u1ef9 h\u01a1n v\u1ec1 ho\u00e1n v\u1ecb, ch\u1ec9nh h\u1ee3p, b\u1ea1n c\u00f3 th\u1ec3 xem <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-chinh-hop\/\">c\u00f4ng th\u1ee9c t\u00ednh ho\u00e1n v\u1ecb, ch\u1ec9nh h\u1ee3p v\u00e0 t\u1ed5 h\u1ee3p<\/a>.<\/p>\n<h2>C\u00f3 bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?<\/h2>\n<p>C\u00f3 4.536 s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau, v\u00ec m\u1ed7i ch\u1eef s\u1ed1 ch\u1ecdn sau ph\u1ea3i tr\u00e1nh c\u00e1c ch\u1eef s\u1ed1 \u0111\u00e3 ch\u1ecdn tr\u01b0\u1edbc.<\/p>\n<ul>\n<li>a c\u00f3 9 c\u00e1ch ch\u1ecdn (kh\u00e1c 0).<\/li>\n<li>b c\u00f3 9 c\u00e1ch ch\u1ecdn (kh\u00e1c a, \u0111\u01b0\u1ee3c ch\u1ecdn 0).<\/li>\n<li>c c\u00f3 8 c\u00e1ch ch\u1ecdn (kh\u00e1c a v\u00e0 b).<\/li>\n<li>d c\u00f3 7 c\u00e1ch ch\u1ecdn (kh\u00e1c a, b, c).<\/li>\n<\/ul>\n<p>V\u1eady c\u00f3 9 \u00d7 9 \u00d7 8 \u00d7 7 = 4.536 s\u1ed1. C\u00e1ch kh\u00e1c: l\u1ea5y ch\u1ec9nh h\u1ee3p ch\u1eadp 4 c\u1ee7a 10 ch\u1eef s\u1ed1 tr\u1eeb \u0111i c\u00e1c tr\u01b0\u1eddng h\u1ee3p a = 0, t\u1ee9c 10 \u00d7 9 \u00d7 8 \u00d7 7 \u2212 9 \u00d7 8 \u00d7 7 = 5.040 \u2212 504 = 4.536.<\/p>\n<p>T\u1eeb \u0111\u00f3 suy ra s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 m\u00e0 c\u00f3 \u00edt nh\u1ea5t 2 ch\u1eef s\u1ed1 gi\u1ed1ng nhau l\u00e0 9.000 \u2212 4.536 = 4.464 s\u1ed1.<\/p>\n<h2>\u0110\u1ebfm s\u1ed1 ch\u1eb5n, s\u1ed1 l\u1ebb c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau<\/h2>\n<p>V\u1edbi s\u1ed1 ch\u1eb5n, ch\u1eef s\u1ed1 0 c\u00f3 th\u1ec3 n\u1eb1m \u1edf h\u00e0ng \u0111\u01a1n v\u1ecb n\u00ean ph\u1ea3i t\u00e1ch tr\u01b0\u1eddng h\u1ee3p; v\u1edbi s\u1ed1 l\u1ebb th\u00ec kh\u00f4ng c\u1ea7n.<\/p>\n<p><strong>S\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau:<\/strong><\/p>\n<ul>\n<li>Tr\u01b0\u1eddng h\u1ee3p d = 0: a c\u00f3 9 c\u00e1ch, b c\u00f3 8 c\u00e1ch, c c\u00f3 7 c\u00e1ch \u2192 9 \u00d7 8 \u00d7 7 = 504 s\u1ed1.<\/li>\n<li>Tr\u01b0\u1eddng h\u1ee3p d \u2208 {2, 4, 6, 8}: d c\u00f3 4 c\u00e1ch, a c\u00f3 8 c\u00e1ch (kh\u00e1c 0 v\u00e0 kh\u00e1c d), b c\u00f3 8 c\u00e1ch, c c\u00f3 7 c\u00e1ch \u2192 4 \u00d7 8 \u00d7 8 \u00d7 7 = 1.792 s\u1ed1.<\/li>\n<li>T\u1ed5ng: 504 + 1.792 = 2.296 s\u1ed1.<\/li>\n<\/ul>\n<p><strong>S\u1ed1 l\u1ebb c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau:<\/strong> d c\u00f3 5 c\u00e1ch (1, 3, 5, 7, 9), a c\u00f3 8 c\u00e1ch (kh\u00e1c 0 v\u00e0 kh\u00e1c d), b c\u00f3 8 c\u00e1ch, c c\u00f3 7 c\u00e1ch \u2192 5 \u00d7 8 \u00d7 8 \u00d7 7 = 2.240 s\u1ed1.<\/p>\n<p>Ki\u1ec3m tra: 2.296 + 2.240 = 4.536, \u0111\u00fang b\u1eb1ng t\u1ed5ng s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-624295\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-2.jpg\" alt=\"co-bao-nhieu-so-tu-nhien-co-4-chu-so-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/11\/co-bao-nhieu-so-tu-nhien-co-4-chu-so-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>M\u1eb9o \u0111\u1ebfm nhanh v\u00e0 l\u1ed7i th\u01b0\u1eddng g\u1eb7p<\/h2>\n<p>Ba nguy\u00ean t\u1eafc d\u01b0\u1edbi \u0111\u00e2y gi\u00fap b\u1ea1n tr\u00e1nh ph\u1ea7n l\u1edbn l\u1ed7i sai khi l\u00e0m d\u1ea1ng b\u00e0i \u0111\u1ebfm s\u1ed1.<\/p>\n<ul>\n<li>\u01afu ti\u00ean ch\u1ecdn ch\u1eef s\u1ed1 c\u00f3 \u0111i\u1ec1u ki\u1ec7n tr\u01b0\u1edbc (h\u00e0ng ngh\u00ecn, h\u00e0ng \u0111\u01a1n v\u1ecb).<\/li>\n<li>Khi ch\u1eef s\u1ed1 0 c\u00f3 th\u1ec3 r\u01a1i v\u00e0o v\u1ecb tr\u00ed b\u1ecb r\u00e0ng bu\u1ed9c, h\u00e3y t\u00e1ch tr\u01b0\u1eddng h\u1ee3p.<\/li>\n<li>V\u1edbi y\u00eau c\u1ea7u &#8220;\u00edt nh\u1ea5t m\u1ed9t&#8221;, h\u00e3y \u0111\u1ebfm ph\u1ea7n b\u00f9 r\u1ed3i l\u1ea5y 9.000 tr\u1eeb \u0111i.<\/li>\n<\/ul>\n<p>V\u00ed d\u1ee5 \u0111\u1ebfm ph\u1ea7n b\u00f9: s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 ch\u1ee9a \u00edt nh\u1ea5t m\u1ed9t ch\u1eef s\u1ed1 5. S\u1ed1 kh\u00f4ng ch\u1ee9a ch\u1eef s\u1ed1 5 c\u00f3 a 8 c\u00e1ch (kh\u00e1c 0 v\u00e0 5), b, c, d m\u1ed7i ch\u1eef s\u1ed1 9 c\u00e1ch, t\u1ee9c 8 \u00d7 9 \u00d7 9 \u00d7 9 = 5.832 s\u1ed1. V\u1eady s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 9.000 \u2212 5.832 = 3.168 s\u1ed1.<\/p>\n<p>L\u1ed7i hay g\u1eb7p nh\u1ea5t l\u00e0 t\u00ednh 10 \u00d7 9 \u00d7 8 \u00d7 7 = 5.040 cho s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau, qu\u00ean lo\u1ea1i c\u00e1c s\u1ed1 b\u1eaft \u0111\u1ea7u b\u1eb1ng 0. L\u1ed7i th\u1ee9 hai l\u00e0 nh\u00e2n th\u1eb3ng 5 \u00d7 8 \u00d7 8 \u00d7 7 cho s\u1ed1 ch\u1eb5n kh\u00e1c nhau m\u00e0 kh\u00f4ng t\u00e1ch ri\u00eang tr\u01b0\u1eddng h\u1ee3p t\u1eadn c\u00f9ng b\u1eb1ng 0.<\/p>\n<h2>B\u00e0i t\u1eadp \u0111\u1ebfm s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p>C\u00e1c b\u00e0i t\u1eadp d\u01b0\u1edbi \u0111\u00e2y \u0111i t\u1eeb d\u1ec5 \u0111\u1ebfn kh\u00f3, \u0111\u00e1p s\u1ed1 \u0111\u1ec1u \u0111\u00e3 \u0111\u01b0\u1ee3c ki\u1ec3m tra l\u1ea1i.<\/p>\n<p><strong>B\u00e0i 1:<\/strong> T\u1eeb c\u00e1c ch\u1eef s\u1ed1 1, 2, 3, 4, 5 l\u1eadp \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?<\/p>\n<p>L\u1eddi gi\u1ea3i: Kh\u00f4ng c\u00f3 ch\u1eef s\u1ed1 0 n\u00ean kh\u00f4ng c\u1ea7n lo \u0111i\u1ec1u ki\u1ec7n h\u00e0ng ngh\u00ecn. a c\u00f3 5 c\u00e1ch, b c\u00f3 4, c c\u00f3 3, d c\u00f3 2 \u2192 5 \u00d7 4 \u00d7 3 \u00d7 2 = 120 s\u1ed1.<\/p>\n<p><strong>B\u00e0i 2:<\/strong> T\u1eeb c\u00e1c ch\u1eef s\u1ed1 1, 2, 3, 4, 5 l\u1eadp \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?<\/p>\n<p>L\u1eddi gi\u1ea3i: d \u2208 {2, 4} c\u00f3 2 c\u00e1ch; ba ch\u1eef s\u1ed1 c\u00f2n l\u1ea1i ch\u1ecdn t\u1eeb 4 ch\u1eef s\u1ed1 c\u00f2n l\u1ea1i: 4 \u00d7 3 \u00d7 2 = 24. V\u1eady c\u00f3 2 \u00d7 24 = 48 s\u1ed1.<\/p>\n<p><strong>B\u00e0i 3:<\/strong> T\u1eeb c\u00e1c ch\u1eef s\u1ed1 1, 2, 3, 4, 5 l\u1eadp \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau v\u00e0 l\u1edbn h\u01a1n 3.000?<\/p>\n<p>L\u1eddi gi\u1ea3i: a \u2208 {3, 4, 5} c\u00f3 3 c\u00e1ch; b, c, d c\u00f3 4 \u00d7 3 \u00d7 2 = 24 c\u00e1ch. V\u1eady c\u00f3 3 \u00d7 24 = 72 s\u1ed1.<\/p>\n<p><strong>B\u00e0i 4:<\/strong> T\u1eeb c\u00e1c ch\u1eef s\u1ed1 0, 1, 2, 3, 4, 5 l\u1eadp \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?<\/p>\n<p>L\u1eddi gi\u1ea3i: a c\u00f3 5 c\u00e1ch (kh\u00e1c 0), b c\u00f3 5 c\u00e1ch, c c\u00f3 4 c\u00e1ch, d c\u00f3 3 c\u00e1ch \u2192 5 \u00d7 5 \u00d7 4 \u00d7 3 = 300 s\u1ed1.<\/p>\n<p><strong>B\u00e0i 5:<\/strong> T\u1eeb c\u00e1c ch\u1eef s\u1ed1 0, 1, 2, 3, 4, 5 l\u1eadp \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?<\/p>\n<p>L\u1eddi gi\u1ea3i: Tr\u01b0\u1eddng h\u1ee3p d = 0: a, b, c ch\u1ecdn t\u1eeb 5 ch\u1eef s\u1ed1 c\u00f2n l\u1ea1i \u2192 5 \u00d7 4 \u00d7 3 = 60 s\u1ed1. Tr\u01b0\u1eddng h\u1ee3p d \u2208 {2, 4}: d c\u00f3 2 c\u00e1ch, a c\u00f3 4 c\u00e1ch (kh\u00e1c 0 v\u00e0 d), b c\u00f3 4 c\u00e1ch, c c\u00f3 3 c\u00e1ch \u2192 2 \u00d7 4 \u00d7 4 \u00d7 3 = 96 s\u1ed1. T\u1ed5ng: 60 + 96 = 156 s\u1ed1.<\/p>\n<p><strong>B\u00e0i 6:<\/strong> T\u1eeb c\u00e1c ch\u1eef s\u1ed1 0, 1, 2, 3, 4, 5 l\u1eadp \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau chia h\u1ebft cho 5?<\/p>\n<p>L\u1eddi gi\u1ea3i: d = 0 c\u00f3 5 \u00d7 4 \u00d7 3 = 60 s\u1ed1; d = 5 th\u00ec a c\u00f3 4 c\u00e1ch (kh\u00e1c 0 v\u00e0 5), b c\u00f3 4 c\u00e1ch, c c\u00f3 3 c\u00e1ch \u2192 48 s\u1ed1. T\u1ed5ng: 60 + 48 = 108 s\u1ed1.<\/p>\n<p><strong>B\u00e0i 7:<\/strong> C\u00f3 bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau chia h\u1ebft cho 5?<\/p>\n<p>L\u1eddi gi\u1ea3i: d = 0 c\u00f3 9 \u00d7 8 \u00d7 7 = 504 s\u1ed1; d = 5 c\u00f3 8 \u00d7 8 \u00d7 7 = 448 s\u1ed1 (a kh\u00e1c 0 v\u00e0 5). T\u1ed5ng 952 s\u1ed1.<\/p>\n<p><strong>B\u00e0i 8:<\/strong> C\u00f3 bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 m\u00e0 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 b\u1eb1ng 4?<\/p>\n<p>L\u1eddi gi\u1ea3i: \u0110\u1eb7t a = a&#8217; + 1 (a&#8217; \u2265 0), ta c\u1ea7n a&#8217; + b + c + d = 3. S\u1ed1 nghi\u1ec7m t\u1ef1 nhi\u00ean l\u00e0 C(6, 3) = 20. V\u1eady c\u00f3 20 s\u1ed1, v\u00ed d\u1ee5 4.000, 3.100, 1.111, 1.003.<\/p>\n<p>Khi g\u1eb7p b\u00e0i \u0111\u1ebfm c\u00f3 \u0111i\u1ec1u ki\u1ec7n chia h\u1ebft, b\u1ea1n n\u00ean \u00f4n l\u1ea1i d\u1ea5u hi\u1ec7u chia h\u1ebft v\u00e0 kh\u00e1i ni\u1ec7m <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-nguyen-to-cung-nhau\/\">s\u1ed1 nguy\u00ean t\u1ed1 c\u00f9ng nhau<\/a>; v\u1edbi b\u00e0i to\u00e1n c\u00f3 l\u1eddi v\u0103n, h\u00e3y tham kh\u1ea3o <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/giai-bai-toan-bang-cach-lap-phuong-trinh\/\">c\u00e1c b\u01b0\u1edbc gi\u1ea3i b\u00e0i to\u00e1n b\u1eb1ng c\u00e1ch l\u1eadp ph\u01b0\u01a1ng tr\u00ecnh<\/a>.<\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p<\/h2>\n<h3>C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1?<\/h3>\n<p>C\u00f3 9.000 s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1, t\u1eeb 1.000 \u0111\u1ebfn 9.999, t\u00ednh b\u1eb1ng 9 \u00d7 10 \u00d7 10 \u00d7 10 ho\u1eb7c (9.999 \u2212 1.000) : 1 + 1.<\/p>\n<h3>C\u00f3 bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?<\/h3>\n<p>C\u00f3 4.536 s\u1ed1, t\u00ednh theo quy t\u1eafc nh\u00e2n 9 \u00d7 9 \u00d7 8 \u00d7 7 v\u00ec ch\u1eef s\u1ed1 h\u00e0ng ngh\u00ecn ph\u1ea3i kh\u00e1c 0.<\/p>\n<h3>C\u00f3 bao nhi\u00eau s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1?<\/h3>\n<p>C\u00f3 4.500 s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1, t\u1eeb 1.000 \u0111\u1ebfn 9.998. S\u1ed1 l\u1ebb c\u0169ng c\u00f3 4.500 s\u1ed1.<\/p>\n<h3>C\u00f3 bao nhi\u00eau s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?<\/h3>\n<p>C\u00f3 2.296 s\u1ed1, g\u1ed3m 504 s\u1ed1 t\u1eadn c\u00f9ng b\u1eb1ng 0 v\u00e0 1.792 s\u1ed1 t\u1eadn c\u00f9ng b\u1eb1ng 2, 4, 6 ho\u1eb7c 8.<\/p>\n<h3>C\u00f3 bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 chia h\u1ebft cho 5?<\/h3>\n<p>C\u00f3 1.800 s\u1ed1, v\u00ec ch\u1eef s\u1ed1 h\u00e0ng \u0111\u01a1n v\u1ecb ch\u1ec9 c\u00f3 th\u1ec3 l\u00e0 0 ho\u1eb7c 5: 9 \u00d7 10 \u00d7 10 \u00d7 2 = 1.800.<\/p>\n<h3>S\u1ed1 nh\u1ecf nh\u1ea5t v\u00e0 l\u1edbn nh\u1ea5t c\u00f3 4 ch\u1eef s\u1ed1 l\u00e0 bao nhi\u00eau?<\/h3>\n<p>S\u1ed1 nh\u1ecf nh\u1ea5t c\u00f3 4 ch\u1eef s\u1ed1 l\u00e0 1.000, s\u1ed1 l\u1edbn nh\u1ea5t l\u00e0 9.999. N\u1ebfu y\u00eau c\u1ea7u c\u00e1c ch\u1eef s\u1ed1 kh\u00e1c nhau th\u00ec l\u00e0 1.023 v\u00e0 9.876.<\/p>\n<p><script type=\"application\/ld+json\">{\"@context\": \"https:\/\/schema.org\", \"@type\": \"FAQPage\", \"mainEntity\": [{\"@type\": \"Question\", \"name\": \"C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"C\u00f3 9.000 s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1, t\u1eeb 1.000 \u0111\u1ebfn 9.999, t\u00ednh b\u1eb1ng 9 \u00d7 10 \u00d7 10 \u00d7 10 ho\u1eb7c (9.999 \u2212 1.000) : 1 + 1.\"}}, {\"@type\": \"Question\", \"name\": \"C\u00f3 bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"C\u00f3 4.536 s\u1ed1, t\u00ednh theo quy t\u1eafc nh\u00e2n 9 \u00d7 9 \u00d7 8 \u00d7 7 v\u00ec ch\u1eef s\u1ed1 h\u00e0ng ngh\u00ecn ph\u1ea3i kh\u00e1c 0.\"}}, {\"@type\": \"Question\", \"name\": \"C\u00f3 bao nhi\u00eau s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"C\u00f3 4.500 s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1, t\u1eeb 1.000 \u0111\u1ebfn 9.998. S\u1ed1 l\u1ebb c\u0169ng c\u00f3 4.500 s\u1ed1.\"}}, {\"@type\": \"Question\", \"name\": \"C\u00f3 bao nhi\u00eau s\u1ed1 ch\u1eb5n c\u00f3 4 ch\u1eef s\u1ed1 kh\u00e1c nhau?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"C\u00f3 2.296 s\u1ed1, g\u1ed3m 504 s\u1ed1 t\u1eadn c\u00f9ng b\u1eb1ng 0 v\u00e0 1.792 s\u1ed1 t\u1eadn c\u00f9ng b\u1eb1ng 2, 4, 6 ho\u1eb7c 8.\"}}, {\"@type\": \"Question\", \"name\": \"C\u00f3 bao nhi\u00eau s\u1ed1 c\u00f3 4 ch\u1eef s\u1ed1 chia h\u1ebft cho 5?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"C\u00f3 1.800 s\u1ed1, v\u00ec ch\u1eef s\u1ed1 h\u00e0ng \u0111\u01a1n v\u1ecb ch\u1ec9 c\u00f3 th\u1ec3 l\u00e0 0 ho\u1eb7c 5: 9 \u00d7 10 \u00d7 10 \u00d7 2 = 1.800.\"}}, {\"@type\": \"Question\", \"name\": \"S\u1ed1 nh\u1ecf nh\u1ea5t v\u00e0 l\u1edbn nh\u1ea5t c\u00f3 4 ch\u1eef s\u1ed1 l\u00e0 bao nhi\u00eau?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"S\u1ed1 nh\u1ecf nh\u1ea5t c\u00f3 4 ch\u1eef s\u1ed1 l\u00e0 1.000, s\u1ed1 l\u1edbn nh\u1ea5t l\u00e0 9.999. N\u1ebfu y\u00eau c\u1ea7u c\u00e1c ch\u1eef s\u1ed1 kh\u00e1c nhau th\u00ec l\u00e0 1.023 v\u00e0 9.876.\"}}]}<\/script><\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>C\u00f3 9.000 s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1, t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c s\u1ed1 s\u1ed1 h\u1ea1ng ho\u1eb7c quy t\u1eafc nh\u00e2n 9 \u00d7 10 \u00d7 10 \u00d7 10. V\u1edbi c\u00e1c d\u1ea1ng c\u00f3 \u0111i\u1ec1u ki\u1ec7n nh\u01b0 ch\u1eef s\u1ed1 kh\u00e1c nhau, s\u1ed1 ch\u1eb5n hay chia h\u1ebft cho 5, b\u1ea1n h\u00e3y x\u00e9t ch\u1eef s\u1ed1 h\u00e0ng ngh\u00ecn kh\u00e1c 0 tr\u01b0\u1edbc, t\u00e1ch tr\u01b0\u1eddng h\u1ee3p khi ch\u1eef s\u1ed1 0 c\u00f3 th\u1ec3 n\u1eb1m \u1edf h\u00e0ng \u0111\u01a1n v\u1ecb v\u00e0 d\u00f9ng ph\u1ea7n b\u00f9 cho y\u00eau c\u1ea7u &#8220;\u00edt nh\u1ea5t m\u1ed9t&#8221;. Luy\u1ec7n v\u00e0i b\u00e0i t\u1eadp nh\u01b0 tr\u00ean l\u00e0 b\u1ea1n c\u00f3 th\u1ec3 t\u1ef1 tin x\u1eed l\u00fd m\u1ecdi d\u1ea1ng \u0111\u1ebfm s\u1ed1.<\/p>\n<p>Xem th\u00eam:<\/p>\n<p><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-to-hop-chinh-hop\/\">B\u1ed9 c\u00f4ng th\u1ee9c Ho\u00e1n v\u1ecb \u2013 Ch\u1ec9nh h\u1ee3p \u2013 T\u1ed5 h\u1ee3p \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t trong To\u00e1n h\u1ecdc<\/a><\/p>\n<p><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thap-phan\/\">S\u1ed1 th\u1eadp ph\u00e2n l\u00e0 g\u00ec? C\u00e1c ph\u00e9p t\u00ednh v\u1edbi s\u1ed1 th\u1eadp ph\u00e2n<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>C\u00f3 9.000 s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1, t\u1eeb 1.000 \u0111\u1ebfn 9.999. B\u1ea1n c\u00f3 th\u1ec3 t\u00ednh theo c\u00f4ng th\u1ee9c s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y: (9.999 \u2212 1.000) : 1 + 1 = 9.000, ho\u1eb7c theo quy t\u1eafc nh\u00e2n: ch\u1eef s\u1ed1 h\u00e0ng ngh\u00ecn c\u00f3 9 c\u00e1ch ch\u1ecdn (t\u1eeb 1 \u0111\u1ebfn 9), ba h\u00e0ng c\u00f2n l\u1ea1i [&hellip;]<\/p>\n","protected":false},"author":102,"featured_media":624296,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"c\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1","_yoast_wpseo_title":"C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1? C\u00e1ch \u0111\u1ebfm v\u00e0 b\u00e0i t\u1eadp","_yoast_wpseo_metadesc":"C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1? \u0110\u00e1p \u00e1n 9.000 s\u1ed1, c\u00e1ch \u0111\u1ebfm s\u1ed1 kh\u00e1c nhau, s\u1ed1 ch\u1eb5n, chia h\u1ebft cho 5 k\u00e8m b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i. Xem ngay \u0111\u1ec3 l\u00e0m b\u00e0i!","footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-624291","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 4 ch\u1eef s\u1ed1? 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