[中譯] Puzzleup 2011 (01) Students

看板puzzle (益智遊戲 - 數獨,拼圖,推理,西洋棋)作者lollygagger (chivalry's alive)時間14年前 (2011/08/23 09:12)推噓0(0推 0噓 0→)

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題目網址: www.puzzleup.com/2011/puzzle/?219 加分時限: 7/28(四) 7PM - 8/02(二) 7PM 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）　　 ◆Students Each of the students in a group, writes down his or her name, surname, age and birthplace on a card he or she holds. Then, these cards (each containing four entries) are collected and examined. The following observations are made: ‧ No matter which four cards are picked, at least two of them contains an identical entry. ‧ There are at most three people in the group having the same name. (ie. There may be 3 people named A, 3 people named B but there cannot be 4 people named C). ‧ There are at most three people in the group having the same surname. ‧ There are at most three people in the group having the same age. ‧ There are at most three people in the group having the same birthplace. What is the possible maximum number of students in this group? 每個學生手上有一張卡片，上面寫著各自的名字、姓氏、年齡、出生地４個項目，收集並檢視所有卡片後得知: ‧任選４張卡片，至少兩張卡片上有一個項目完全相同。 ‧這群學生裏最多有３人有相同的名字。（意即可以有3人叫A, 3人叫B, 但不能有 4人叫C。) ‧這群學生裏最多有３人有相同的姓氏。 ‧這群學生裏最多有３人有相同的年齡。 ‧這群學生裏最多有３人有相同的出生地。問這群學生最多有幾人？ -- 不知道這題有沒有我想的那麼簡單至於02題，英文看嘸... 哪位高手給翻一下please -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.166.67.55