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[转载] Project Euler Problem 369 扑克牌不同花色数字

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发表于 2012-1-31 12:25:27 | 显示全部楼层 |阅读模式

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Problem 369
29 January 2012


In a standard 52 card deck of playing cards, a set of 4 cards is a Badugi if it contains 4 cards with no pairs and no two cards of the same suit.

Let f(n) be the number of ways to choose n cards with a 4 card subset that is a Badugi. For example, there are 2598960 ways to choose five cards from a standard 52 card deck, of which 514800 contain a 4 card subset that is a Badugi, so f(5) = 514800.

Find∑ f(n) for 4 ≤ n ≤ 13.
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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