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수학동아 - 폴리매스
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[수학 정보] 경우의 수 구할 때 쓰는 공식
PF＿ 2021.03.21 21:08 조회 677
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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

"384823을 일렬로 나열하는 경우의 수를 구하라"

이런 문제 많이 들어보셨죠?

이런 문제를 해결하는 방법을 알려드리겠습니다.

일단, 같은 대상끼리 그룹으로 묶습니다.

(a그룹: 3 3

b그룹: 8 8

c그룹: 4

d그룹: 2)

그리고 전체 대상 수를 x라 하면, 이 공식에 대입합니다.

x!/a!*b!*c!*d!*e!....

여기서 a,b,c,d...는 각 그룹입니다.

-끝-

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

잠깐!

그래서 이 문제에 정답은 6!/2!*2!*1!*1!=720/2*2*1*1=720/4=180/1=180가지 입니다.

-진짜 끝-

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

다시 잠깐!

보니까 이것은 제 문제에서도 응용할 수 있었습니다...

여기 클릭

 

-완전 끝-

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  •  
    파이=숫자 Lv.2 2021.03.21 21:30

    응애 나 아기 코미디언

    노잼 줘

    댓글 작성하기 좋아요0 댓글수2
    •  
      PF＿ Lv.8 2021.03.21 21:33

      제발반말쓰지마시고이런댓글좀달지말아주세요불쾌합니다알았으면삭제부탁해요

      좋아요0
    •  
      소(가 넘어가는)수 Lv.6 2021.04.01 00:57

      그냥 웃고 넘기자고 쓰신것 같은데 그렇게 예민하게 받아드릴 일은 아닌것 같아요. 물론 본인이 불쾌하다면은 할말이 없지만요.

      좋아요0
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