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¼ø¿­°ú Á¶ÇÕÀÇ °ø½ÄÀ» ÀÌ¿ëÇÏ¿© ·Î¶Ç È®·ü°è»êÀ» ÇØ º¾´Ï´Ù

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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

¼ø¿­ , P(permutation)

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

Á¶ÇÕ , C(combination)

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

°ø½Ä ´ç÷ È®·ü

45C6 -> 45°³ÀÇ ¼ýÀÚÁß 6°³¸¦ ¼±ÅÃÇÏ´Â ¹æ¹ý = 45! / 6!(45-6)! = 5,864,443,200 / 720 = 8,145,060

1µî È®·ü0.000012%

6°³ÀÇ ¼ýÀÚ°¡ ÀÏÄ¡ -> 6C6 * 39C0 = 1 x 1 = 1

°è»ê) 1 / 8,145,060 = 0.0000001228

2µî È®·ü0.000074%

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

3µî È®·ü0.0028%

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

4µî È®·ü0.14%

4°³ÀÇ ¼ýÀÚ°¡ ÀÏÄ¡ -> 6C4 * 39C2 = 15 x 741 = 11,115

°è»ê) 11,115 / 8,145,060 = 1 / 733 = 0.0013646308

5µî È®·ü2.24%

3°³ÀÇ ¼ýÀÚ°¡ ÀÏÄ¡ -> 6C3 x 39C3 = 20 x 9,139 = 182,780

°è»ê) 182,780 / 8,145,060 = 1 / 45 = 0.0224405959

³«Ã· - 2°³ ¼ýÀÚ ¸ÂÃâ È®·ü15.15%

¼ýÀÚ 2°³°¡ ÀÏÄ¡ -> 6C2 * 39C4 = 15 x 82,251 = 1,233,765

°è»ê) 1,233,765 / 8,145,060 = 0.1514740223

³«Ã· - 1°³ ¼ýÀÚ¸¦ ¸ÂÃâ È®·ü42.41%

¼ýÀÚ 1°³°¡ ÀÏÄ¡ -> 6C1 * 39C5 = 6 x 575,757 = 3,454,542

°è»ê) 3,454,542 / 8,145,060 = 0.4241272624

³«Ã· - ¸ðµÎ Ʋ¸± È®·ü40.06%

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

°øÁö»çÇ×

 

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