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수학동아 - 폴리매스
본문바로가기
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 수학 시험
역시완 2019.03.05 07:43 조회 555

어느 수학 시험에서 4점 문제 4개, 5점 문제 12개, 6점 문제 4개가 출제되었다. 만점은 100점 일 때, 받을 수 있는 점수의 개수는 몇 개 인가? (단, 부분 점수는 없고, 틀린 문제는 0점이다.) 

(추가 문제) 부분 점수가 2점씩 주어질 수 있다면 몇 개입니까?

(추가 문제 2) 점수 60점이고, 부분 점수가 없다면 (4점 문제 맞힌 개수, 5점 문제 맞힌 개수, 6점 문제 맞힌 개수)의 순서쌍은 몇개 입니까?

이 문제 어떠셨나요?

글쎄요

0

어려워요

0

  •  
    sincostan Lv.7 2019.03.05 08:24

    4점 4개,5점 12개,6점,4개가 출제되었으므로 5점 12개를 6점으로 바꾸면 6점 14개가 되어서 5x15=75가지이다.

    댓글 작성하기 좋아요0 댓글수4
    •  
      sincostan Lv.7 2019.03.05 08:32

      추가문제로 부분점수는 2점씩이라고 하고 풀어볼까요?

      좋아요0
    •  
      sincostan Lv.7 2019.03.10 08:38

      이 문제 답 이거 맞습니다. 제 문제집에 나와있는 문제인데요?

      좋아요0
    •  
      역시완 Lv.1 2019.04.01 07:00

      아닙니다. 예를 들어서 43은 4점 2개, 5점 7개로 만들 수 있으므로 이것도 한 가지 경우입니다. 하지만 3이나 7은 안 되는 경우의 예입니다. 알파고 zero 님의 답보다는 훨씬 큽니다.

      좋아요0
    •  
      sincostan Lv.7 2019.11.02 09:59 비밀댓글
      비밀 댓글이 등록 되었습니다!
  •  
    sincostan Lv.7 2019.11.02 10:00

    근데 또 언제 추가문제는 올라와 있었지?

    댓글 작성하기 좋아요0 댓글수4
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