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!(ÆÑÅ丮¾Ë) Àº 1ºÎÅÍ ÀÚ¿¬¼ö n °¡ÁöÀÇ ¸ðµç ¼ö¸¦ Â÷·Ê´ë·Î °öÇϴ°ÍÀ» ÀǹÌÇÕ´Ï´Ù
Áï 6! = 1 x 2 x 3 x 4 x 5 x 6 = 720
nPr = n(n-1)(n-2).......(n-(r-1))
6P3 --> 6°³ÀÇ ¼ýÀÚµé Áß 3°³¸¦ ¼±ÅÃÇÏ¿© ¹è¿ÇÏ´Â ¹æ¹ý
Áï 6P3 = 6(6-1)(6-2) = 6 x 5 x 4 = 120
nCr = nCn-r = n! / r!(n-r)! (´Ü n > r)
6C3 --> 6°³ÀÇ ¼ýÀÚÁß 3°³¸¦ ¼±ÅÃÇÏ´Â ¹æ¹ý
Áï 6C3 = 6! / 3!(6-3)! = 6 x 5 x 4 x 3 x 2 x 1 / 3 x 2 x 1 (3 x 2 x 1) = 20
45C6 -> 45°³ÀÇ ¼ýÀÚÁß 6°³¸¦ ¼±ÅÃÇÏ´Â ¹æ¹ý = 45! / 6!(45-6)! = 5,864,443,200 / 720 = 8,145,060
6°³ÀÇ ¼ýÀÚ°¡ ÀÏÄ¡ -> 6C6 * 39C0 = 1 x 1 = 1
°è»ê) 1 / 8,145,060 = 0.0000001228
5°³ÀÇ ¼ýÀÚ ¿Í º¸³Ê½º ¼ýÀÚ 1°³°¡ ÀÏÄ¡ -> 6C5 * 1C1 * 38C0 = 6 x 1 x 1= 6
°è»ê) 6 / 8,145,060 = 1 / 1,357,510 = 0.0000007366
5°³ÀÇ ¼ýÀÚ°¡ ÀÏÄ¡ -> 6C5 x 39C1 = 6 x 39 = 234
Æ÷ÇÔÇÏ´Â 2µî¹øÈ£ Á¦¿Ü : 234 - 6 = 228
°è»ê) 228 / 8,145,060 = 1 / 35,724 = 0.0000279924
4°³ÀÇ ¼ýÀÚ°¡ ÀÏÄ¡ -> 6C4 * 39C2 = 15 x 741 = 11,115
°è»ê) 11,115 / 8,145,060 = 1 / 733 = 0.0013646308
3°³ÀÇ ¼ýÀÚ°¡ ÀÏÄ¡ -> 6C3 x 39C3 = 20 x 9,139 = 182,780
°è»ê) 182,780 / 8,145,060 = 1 / 45 = 0.0224405959
¼ýÀÚ 2°³°¡ ÀÏÄ¡ -> 6C2 * 39C4 = 15 x 82,251 = 1,233,765
°è»ê) 1,233,765 / 8,145,060 = 0.1514740223
¼ýÀÚ 1°³°¡ ÀÏÄ¡ -> 6C1 * 39C5 = 6 x 575,757 = 3,454,542
°è»ê) 3,454,542 / 8,145,060 = 0.4241272624
ÀÏÄ¡ÇÏ´Â ¼ýÀÚ ¾øÀ½ -> 6C0 * 39C6 = 1 x 3,262,623 = 3,262,623
°è»ê) 3,262,623 / 8,145,060 = 0.4005646367