[中译] Puzzleup 2018 (6) THREE ORDERS

楼主: buffalobill (水牛比尔)   2018-09-06 10:55:02
题目网址: http://www.puzzleup.com/2018/
http://www.puzzleup.com/2018/puzzle/?6
答题时限: 9月6日7PM-比赛结束(约12月12日)
加分时限: 9月6日7PM-9月12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)  
◆THREE ORDERS
Three separate arrangements of five basketball players are made by ordering
based on their heights, ages and shirt numbers. In each type of arrangement,
the position of a player is never the same. How many distinct arrangements
are there satisfying this condition?
五位篮球员,分别依身高,年龄,与背号做出三种排序。
每位球员在三种排序中的位置皆不相同。
有多少种组合可以满足以上情形?
Example: If there were 3 players, the answer would be 12:
1. Height: (A,B,C), Age: (B,C,A), Shirt: (C,A,B)
2. Height: (A,B,C), Age: (C,A,B), Shirt: (B,C,A)
3. Height: (A,C,B), Age: (B,A,C), Shirt: (C,B,A)
4. Height: (A,C,B), Age: (C,B,A), Shirt: (B,A,C)
5. Height: (B,A,C), Age: (A,C,B), Shirt: (C,B,A)
6. Height: (B,A,C), Age: (C,B,A), Shirt: (A,C,B)
7. Height: (B,C,A), Age: (A,B,C), Shirt: (C,A,B)
8. Height: (B,C,A), Age: (C,A,B), Shirt: (A,B,C)
9. Height: (C,A,B), Age: (A,B,C), Shirt: (B,C,A)
10. Height: (C,A,B), Age: (B,C,A), Shirt: (A,B,C)
11. Height: (C,B,A), Age: (A,C,B), Shirt: (B,A,C)
12. Height: (C,B,A), Age: (B,A,C), Shirt: (A,C,B)
例:如果篮球员有三位,答案会是12:
1. 身高: (A,B,C), 年龄: (B,C,A), 背号: (C,A,B)
2. 身高: (A,B,C), 年龄: (C,A,B), 背号: (B,C,A)
3. 身高: (A,C,B), 年龄: (B,A,C), 背号: (C,B,A)
4. 身高: (A,C,B), 年龄: (C,B,A), 背号: (B,A,C)
5. 身高: (B,A,C), 年龄: (A,C,B), 背号: (C,B,A)
6. 身高: (B,A,C), 年龄: (C,B,A), 背号: (A,C,B)
7. 身高: (B,C,A), 年龄: (A,B,C), 背号: (C,A,B)
8. 身高: (B,C,A), 年龄: (C,A,B), 背号: (A,B,C)
9. 身高: (C,A,B), 年龄: (A,B,C), 背号: (B,C,A)
10. 身高: (C,A,B), 年龄: (B,C,A), 背号: (A,B,C)
11. 身高: (C,B,A), 年龄: (A,C,B), 背号: (B,A,C)
12. 身高: (C,B,A), 年龄: (B,A,C), 背号: (A,C,B)
作者: hfs (快乐!移民日本!梦想成真!)   2018-09-07 01:09:00
推!

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