\n\uc11c\ub860<\/h2>\n
\ucf54\ud2c0\ub9b0\uc740 \ud604\ub300\uc801\uc778 \ud504\ub85c\uadf8\ub798\ubc0d \uc5b8\uc5b4\ub85c, \ucf54\ub529\ud14c\uc2a4\ud2b8\uc640 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c \ud480\uc774\uc5d0 \ub110\ub9ac \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \uc774\ud56d\uacc4\uc218\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774\ud56d\uacc4\uc218\ub294 \uc870\ud569(combination)\uc744 \uacc4\uc0b0\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \ub9e4\uc6b0 \uc911\uc694\ud55c \uac1c\ub150\uc785\ub2c8\ub2e4. \uc774 \ud3ec\uc2a4\ud2b8\uc5d0\uc11c\ub294 \uc774\ud56d\uacc4\uc218\ub97c \uad6c\ud558\ub294 \ub450 \uac00\uc9c0 \ubc29\ubc95, \uc989 \uc7ac\uadc0\uc801 \ubc29\ubc95\uacfc \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \ubc29\ubc95\uc744 \ub2e4\ub8f0 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<\/section>\n\n\ubb38\uc81c \uc124\uba85<\/h2>\n
\uc8fc\uc5b4\uc9c4 \uc790\uc5f0\uc218 n\uacfc k\uc5d0 \ub300\ud574 nCk (n choose k)\ub97c \uacc4\uc0b0\ud558\ub294 \ubb38\uc81c\ub97c \ud480\uc5b4\ubd05\uc2dc\ub2e4. \uc774\ud56d\uacc4\uc218\ub294 n! \/ (k! * (n-k)!)\ub85c \uc815\uc758\ub429\ub2c8\ub2e4. \ub2e8, n\uacfc k\ub294 \ub2e4\uc74c \uc870\uac74\uc744 \ub9cc\uc871\ud574\uc57c \ud569\ub2c8\ub2e4:<\/p>\n
\n- 0 \u2264 k \u2264 n<\/li>\n
- n\uc740 \uc790\uc5f0\uc218\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/li>\n<\/ul>\n
\uc608\ub97c \ub4e4\uc5b4, n\uc774 5\uc774\uace0 k\uac00 2\uc778 \uacbd\uc6b0, 5C2\ub294 10\uc785\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 5! \/ (2! * (5-2)!) = 5! \/ (2! * 3!) = (5 \u00d7 4) \/ (2 \u00d7 1) = 10\uc785\ub2c8\ub2e4.<\/p>\n<\/section>\n\n\ud574\uacb0 \ubc29\ubc95<\/h2>\n1. \uc7ac\uadc0\uc801 \ubc29\ubc95<\/h3>\n
\uc774\ud56d\uacc4\uc218\ub97c \uc7ac\uadc0\uc801\uc73c\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub54c \uc8fc\uc758\ud574\uc57c \ud560 \uc810\uc740 \ubc14\ud0d5\uc774 \ub418\ub294 \uc218\uc2dd\uc785\ub2c8\ub2e4. \uc774\ud56d\uacc4\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uc131\uc9c8\uc744 \uac00\uc9c0\uba70 \uc7ac\uadc0\uc801\uc73c\ub85c \uad6c\ud604\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n
\nC(n, k) = C(n-1, k-1) + C(n-1, k)<\/strong>\n<\/p>\n\uc704\uc758 \uc218\uc2dd\uc744 \uae30\ubc18\uc73c\ub85c \uc774\ud56d\uacc4\uc218\ub97c \uc7ac\uadc0\uc801\uc73c\ub85c \uad6c\ud604\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\nfun binomialCoefficient(n: Int, k: Int): Int {\n \/\/ Base case\n if (k == 0 || k == n) return 1\n \/\/ Recursive case\n return binomialCoefficient(n - 1, k - 1) + binomialCoefficient(n - 1, k)\n}\n <\/code><\/pre>\n2. \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \ubc29\ubc95<\/h3>\n
\uc7ac\uadc0\uc801 \ubc29\ubc95\uc740 \uc2e4\ud589 \uc2dc\uac04\uacfc \uba54\ubaa8\ub9ac \uba74\uc5d0\uc11c \ube44\ud6a8\uc728\uc801\uc77c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub97c \uac1c\uc120\ud558\uae30 \uc704\ud574 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc744 \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc740 \uc774\uc804 \uacc4\uc0b0 \uacb0\uacfc\ub97c \uc800\uc7a5\ud558\uc5ec \ubd88\ud544\uc694\ud55c \uacc4\uc0b0\uc744 \ubc29\uc9c0\ud569\ub2c8\ub2e4. \uc774\ud56d\uacc4\uc218\ub97c \uacc4\uc0b0\ud558\ub294 DP \ud14c\uc774\ube14\uc744 \ub9cc\ub4e4\uc5b4 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\nfun binomialCoefficientDP(n: Int, k: Int): Int {\n \/\/ Create a 2D array to store results\n val dp = Array(n + 1) { IntArray(k + 1) }\n \n \/\/ Fill the table according to base cases\n for (i in 0..n) {\n for (j in 0..minOf(i, k)) {\n if (j == 0 || j == i) {\n dp[i][j] = 1\n } else {\n dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j]\n }\n }\n }\n \n \/\/ Result is stored at dp[n][k]\n return dp[n][k]\n}\n <\/code><\/pre>\n<\/section>\n\n\ucf54\ub4dc \uc2e4\ud589 \uc608<\/h2>\n
\uc704\uc758 \ub450 \ubc29\ubc95\uc744 \ud1b5\ud574 \uc774\ud56d\uacc4\uc218\ub97c \uacc4\uc0b0\ud574\ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucf54\ud2c0\ub9b0\uc5d0\uc11c \uc774\ub97c \uc2e4\ud589\ud558\ub294 \ubc29\ubc95\uc744 \ubcf4\uc5ec\ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\nfun main() {\n val n = 5 \/\/ n \uac12\n val k = 2 \/\/ k \uac12\n\n \/\/ \uc7ac\uadc0\uc801 \ubc29\ubc95 \uc0ac\uc6a9\n val resultRecursive = binomialCoefficient(n, k)\n println(\"\uc7ac\uadc0\uc801 \ubc29\ubc95: $n C $k = $resultRecursive\")\n\n \/\/ \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \ubc29\ubc95 \uc0ac\uc6a9\n val resultDP = binomialCoefficientDP(n, k)\n println(\"\ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \ubc29\ubc95: $n C $k = $resultDP\")\n}\n <\/code><\/pre>\n\uc704\uc758 \ucf54\ub4dc\ub97c \uc2e4\ud589\ud558\uba74 \ub2e4\uc74c\uacfc \uac19\uc740 \uacb0\uacfc\ub97c \uc5bb\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n
\n\uc7ac\uadc0\uc801 \ubc29\ubc95: 5 C 2 = 10\n\ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \ubc29\ubc95: 5 C 2 = 10\n <\/code><\/pre>\n<\/section>\n\n\uacb0\ub860<\/h2>\n
\uc774\ubc88 \ud3ec\uc2a4\ud2b8\uc5d0\uc11c\ub294 \ucf54\ud2c0\ub9b0\uc744 \ud65c\uc6a9\ud558\uc5ec \uc774\ud56d\uacc4\uc218\ub97c \uad6c\ud558\ub294 \ub450 \uac00\uc9c0 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc7ac\uadc0\uc801 \ubc29\ubc95\uc740 \uc774\ud574\ud558\uae30\uc5d0 \uc9c1\uad00\uc801\uc774\uc9c0\ub9cc, \uc785\ub825\uac12\uc774 \ucee4\uc9c8\uc218\ub85d \ube44\ud6a8\uc728\uc801\uc77c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubc18\uba74, \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc740 \uba54\ubaa8\ub9ac\ub97c \uc18c\ubaa8\ud558\uc9c0\ub9cc \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub97c \ud06c\uac8c \uc904\uc77c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub97c \ud1b5\ud574 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \ud6a8\uc728\uc801\uc73c\ub85c \ud574\uacb0\ud560 \uc218 \uc788\ub294 \ubc29\ubc95\uc744 \uc774\ud574\ud558\ub294 \ub370 \ub3c4\uc6c0\uc774 \ub418\uc5c8\uae38 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n
\uc774 \uac15\uc88c\uac00 \uc5ec\ub7ec\ubd84\uc758 \ucf54\ub529 \ud14c\uc2a4\ud2b8 \uc900\ube44\uc5d0 \ub9ce\uc740 \ub3c4\uc6c0\uc774 \ub418\uae38 \ubc14\ub78d\ub2c8\ub2e4. \uac10\uc0ac\ud569\ub2c8\ub2e4!<\/p>\n<\/section>\n<\/article>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
\uc11c\ub860 \ucf54\ud2c0\ub9b0\uc740 \ud604\ub300\uc801\uc778 \ud504\ub85c\uadf8\ub798\ubc0d \uc5b8\uc5b4\ub85c, \ucf54\ub529\ud14c\uc2a4\ud2b8\uc640 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c \ud480\uc774\uc5d0 \ub110\ub9ac \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \uc774\ud56d\uacc4\uc218\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774\ud56d\uacc4\uc218\ub294 \uc870\ud569(combination)\uc744 \uacc4\uc0b0\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \ub9e4\uc6b0 \uc911\uc694\ud55c \uac1c\ub150\uc785\ub2c8\ub2e4. \uc774 \ud3ec\uc2a4\ud2b8\uc5d0\uc11c\ub294 \uc774\ud56d\uacc4\uc218\ub97c \uad6c\ud558\ub294 \ub450 \uac00\uc9c0 \ubc29\ubc95, \uc989 \uc7ac\uadc0\uc801 \ubc29\ubc95\uacfc \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \ubc29\ubc95\uc744 \ub2e4\ub8f0 \uac83\uc785\ub2c8\ub2e4. \ubb38\uc81c \uc124\uba85 \uc8fc\uc5b4\uc9c4 \uc790\uc5f0\uc218 n\uacfc k\uc5d0 \ub300\ud574 nCk (n choose k)\ub97c \uacc4\uc0b0\ud558\ub294 \ubb38\uc81c\ub97c \ud480\uc5b4\ubd05\uc2dc\ub2e4. \uc774\ud56d\uacc4\uc218\ub294 … \ub354 \ubcf4\uae30 “\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc774\ud56d\uacc4\uc218 \uad6c\ud558\uae30 2”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[28],"tags":[],"class_list":["post-28548","post","type-post","status-publish","format-standard","hentry","category-28"],"yoast_head":"\n\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc774\ud56d\uacc4\uc218 \uad6c\ud558\uae30 2 - 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