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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
원파
2021.01.31 08:46
조회 405
(1) ?에 들어갈 네 개의 수를 차례대로(예를 들어 첫째 행 마지막 열의 칸은 순서대로 00130) 읽어보자.
'순서대로'란
a b
c d
일 때 abcd라 읽는 것이다. a, b, c, d 모두 두 자리 이상이 될 수 있다.
(2) 1번에서 읽어낸 수를 X라 하자. X는 특정 수 A를 첫 자리(가장 큰 자리)로 한다.
이후 X에는 A가 A번 등장한다. 그 다음에는 특정 수 B가 앞에서부터 A+1번째 자리에 등장한다.
그리고 나서 B가 B번 등장하고, X가 끝난다. 즉, X는 A+B자리이다.
이런 X의 집합을 W라 하자. 물론 W는 원소가 무수히 많을 것이다.
집합 T를, W에 속하면서 동시에 자릿수가 8이하인 원소들의 집합이라고 정의한다.
그럴 때 T에 속하는 원소의 개수는?
(3) 2번에서 구해낸 집합 T를 모두 구해보자.
(풀이과정은 필수입니다.)
지금 바로
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