[中譯] Puzzleup 2018 (6) THREE ORDERS

看板puzzle (益智遊戲 - 數獨,拼圖,推理,西洋棋)作者buffalobill (水牛比爾)時間7年前 (2018/09/06 10:55)推噓1(1推 0噓 0→)

留言1則, 1人參與討論串1/1

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) -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 60.251.148.94 ※ 文章網址: https://www.ptt.cc/bbs/puzzle/M.1536202505.A.460.html ※ 編輯: buffalobill (60.251.148.94), 09/06/2018 10:56:35