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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
원파
2021.01.21 09:26
조회 491
'그' 방에 도착했다.
열쇠를 끼워 넣었다.
열쇠를 돌리자, 이건 정말 가짜가 아니고, 맑은 하늘이 보였다.
어느새 하늘은 밤이었다.
도심이어서 그런지, 하늘에 별은 n개밖에 안보였다.
"얘들아... 너희 카시오페이아 자리가 어떻게 생겼는지 기억나?"
"아니..? 별 5개로 된건 기억나는데.."
"4차함수 모양이야!"
"그렇구나! 그러면 우리가 보는 이 하늘에 카시오페이아 자리가 될 수 있는 별자리들은 몇개나 될까?"
"총 n개니까, n개 중에 5개를 뽑은 n C 5 겠지?"
"그럴거 같아. 근데, 4차함수 꼴이어야 하잖아. 그건 어떻게 알지?"
"전에 내 아빠가 찍었던 사진 중에 이 하늘이 있었던 것 같아!"
"정말로? 어떤 특징이 있었어?"
"별을 이었을 때 2차함수 모양이었던 세 별의 쌍이 m개 있었어.
그리고, 쌍들 서로서로중 공통된 별이 있다면 양쪽 끝 별이었고,
m개의 쌍 중 공통되는 별이 존재하는 쌍이 p개였어. 양쪽 끝 별이 모두 같은 쌍도 없었어."
"좋아! 그러면, 난 이제 카시오페이아 자리가 될 수 있는 별자리의 개수를 알거 같아!"
그 개수를 알아내는게 여러분의 목적이다.
-
우럭
Lv.9
2021.01.21 09:39
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저택에 사시는군요.
난제의 방은 519 니가 만들었잖아!
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