題目網址: http://www.puzzleup.com/2018/
http://www.puzzleup.com/2018/puzzle/?6
答題時限: 9月6日7PM-比賽結束(約12月12日)
加分時限: 9月6日7PM-9月12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)
◆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?
五位籃球員,分別依身高,年齡,與背號做出三種排序。
每位球員在三種排序中的位置皆不相同。
有多少種組合可以滿足以上情形?
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:如果籃球員有三位,答案會是12:
1. 身高: (A,B,C), 年齡: (B,C,A), 背號: (C,A,B)
2. 身高: (A,B,C), 年齡: (C,A,B), 背號: (B,C,A)
3. 身高: (A,C,B), 年齡: (B,A,C), 背號: (C,B,A)
4. 身高: (A,C,B), 年齡: (C,B,A), 背號: (B,A,C)
5. 身高: (B,A,C), 年齡: (A,C,B), 背號: (C,B,A)
6. 身高: (B,A,C), 年齡: (C,B,A), 背號: (A,C,B)
7. 身高: (B,C,A), 年齡: (A,B,C), 背號: (C,A,B)
8. 身高: (B,C,A), 年齡: (C,A,B), 背號: (A,B,C)
9. 身高: (C,A,B), 年齡: (A,B,C), 背號: (B,C,A)
10. 身高: (C,A,B), 年齡: (B,C,A), 背號: (A,B,C)
11. 身高: (C,B,A), 年齡: (A,C,B), 背號: (B,A,C)
12. 身高: (C,B,A), 年齡: (B,A,C), 背號: (A,C,B)