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함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] (복귀 기념 문제) 문제적 남자에서 영감을 얻은 문제(문제 베끼거나 한 거 절대 아님!)
아인수타인 2021.03.08 09:42 조회 606
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

2018년 어느 날 문제적 남자 특집은 '한국vs일본'이었다(몇월 며칠인지는 기억이 안 난다). 당시 한일전은 다음과 같은 규칙으로 진행되었다.

 

1. (당연히) 처음에는 한국 팀과 일본 팀 둘 다 0점에서 시작한다.

2. 처음에 8문제를 풀며, 먼저 푼 팀에게 1점을 부여한다.

3. '파이널 매치'로 '브레인 오셀로' 게임을 하며, 이긴 팀에게 2점을 부여한다.

4. 파이널 매치에서 승부가 나면 그대로 경기 끝이지만, 여기서 동점이 나면 연장전으로 한 문제를 더 풀고, 이 문제를 맞힌 팀에게 1점을 부여한 뒤 경기가 끝난다.

5. (얘도 당연히) 경기가 끝나고 점수가 높은 팀이 이긴다.

 

(1) 위 규칙대로 해서 연장전을 거치지 않고 한국이 이기는 경우의 수는 얼마일까?

(2) 연장전을 거치든 말든 상관없이, 한국이 이기는 경우의 수는 얼마일까?

(3) 3번 규칙을 아래와 같이 살짝 바꿔보자.

 

      3. '퍼이널 매치'로 '브레인 오셀로' 게임을 하며, 이긴 팀에게 2점을 부여한다. 단, 파이널 매치 직전에 지고 있는 팀이 파이널 매치를 이겨도 이길 가망이 없다면 파이널 매치 없이 경기 끝이다.

 

그럼 이 조건대로 (1),(2)번 문제를 풀어보아라.

 

(뭐 원랜 굳이 안 적었으나 오랜만에 돌아와서 제 문제 처음 보시는 분들을 위해... 제 모든 문제는 별다른 말 없으면 풀이 필수입니다!)

이 문제 어떠셨나요?

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  •  
    파이파이 Lv.9 2021.03.08 09:46

    돌아오셧군요!! ( 저도 복귀했어요 ) 

    댓글 작성하기 좋아요0 댓글수0
  •  
    K→C≡N Lv.11 2021.03.08 17:42 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수1
    •  
      아인수타인 Lv.12 2021.03.09 04:31 비밀댓글
      비밀 댓글이 등록 되었습니다!
  •  
    Sagan Lv.6 2021.03.08 17:48

    오랜만이네요.

    댓글 작성하기 좋아요0 댓글수0
  •  
    리퍼 Lv.6 2021.03.08 20:21

    3번에서 '파이널 매치'를 이겼을 때 동점이 나는 경우라도 이길 가망이 없다고 판단하는 건가요?

    댓글 작성하기 좋아요0 댓글수1
    •  
      아인수타인 Lv.12 2021.03.09 04:30

      그건 4번 조건에 의해 연장전이 있으니까 이길 가망은 있겠죠?

      좋아요0
  •  
    Amath Lv.8 2021.05.15 18:45 비밀댓글
    확인요청중

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