[中譯] Puzzleup 2022 (3) FOUR DIGITS

作者: buffalobill (水牛比爾)   2022-11-04 10:44:45
題目網址: https://www.puzzleup.com/2022/
https://www.puzzleup.com/2022/puzzle/?3
答題時限: 11月3日7PM-比賽結束(約12月29日)
加分時限: 11月3日7PM-11月8日6:59PM
答對可得基本分100分。答案可上傳5次,每改1次答案從基本分扣20分。 
比賽期間內可隨時上傳答案,加分時限內答對第n天加(6-n)分       
另依題目的難易有額外加分(如有80%的人這題答錯,答對者加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
使用數字1,2,3,4,且每個數字的出現次數不得大於該數字本身,
問可以組出多少個正整數?
若只使用數字1與2,則答案為8
1, 2, 12, 21, 22, 122, 212, 221

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