[中译] Puzzleup 2022 (3) FOUR DIGITS

楼主: buffalobill (水牛比尔)   2022-11-04 10:44:45
题目网址: https://www.puzzleup.com/2022/
https://www.puzzleup.com/2022/puzzle/?3
答题时限: 11月3日7PM-比赛结束(约12月29日)
加分时限: 11月3日7PM-11月8日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。 
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分       
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)  
◆FOUR DIGITS
How many positive integers are there where only the digits 1, 2, 3 and 4
are used and no digit is used more than the number it represents?
If the problem was asked for the digits 1 and 2 the answer would be 8
使用数字1,2,3,4,且每个数字的出现次数不得大于该数字本身,
问可以组出多少个正整数?
若只使用数字1与2,则答案为8
1, 2, 12, 21, 22, 122, 212, 221

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