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수학동아 - 폴리매스
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함께 풀고 싶은 문제
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[창의 퍼즐] [경우의 수]인피니티 워
집돌이 페렐만 2020.05.27 05:55 조회 661

레고사는 인피니티워를 테마로 하여 제품을 판매하려고 한다.

인피니티 스톤은 총 6개가 있고, 건틀레 등 다른 요소는 모두 제외하자.

레고 사는 비슷하다고 생각되는 제품을 없애려고 한다.

따라서 제품은 최대한 여러 종류로 만들되 다음 규칙을 따르려고 한다.

1. 인피니티 스톤이 아예 없거나 6개 다 들어있는 제품은 없다.

2. 인피니티 스톤은 한 제품당 n가지 종류로(n은 1 이상 5 이하이다.) 종류당 각각 1개씩만 들어간다.

3. 스톤의 순서는 없다.

4. 같은 조합의 제품은 없다.

5. 예를 들어 파워스톤 + 타임스톤 조합의 제품이 있다면 타임스톤 + 파워스톤 조합의 제품은 만들 수 없지만 파워스톤 + 타임스톤 + 소울 스톤의 조합은 가능하다.

 

레고 사는 총 몇가지 제품을 만들 수 있는가?

이 문제 어떠셨나요?

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  • 폴리매스 문제는 과학기술진흥기금 및 복권기금의 재원으로 운영되고, 과학기술정보통신부와 한국과학창의재단의 지원을 받아 수행된 성과물로 우리나라의 과학기술 발전과 사회적 가치 증진에 기여하고 있습니다.

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