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  • 枫下沙龙 / 谈天说地 / 有兴趣的请帮忙做一数学题:抽屉里有5种不同颜色的袜子,至少取多少只才能保证有6双?
    • 17
      • but the answer is 16,i don't know how to get it. How can you work it out to be 17? pls tell me the clue.
        • Right. 16. I though it's 6 different colors. If it's 6, then 17. But it's 5 different colors then should be 16. 6*2 = 12 + other 4 different colors =16.
          • hi laoyou. got my message?
            • Yes, Thanks! I replied already, not got yet? But I didn't see the post you mentioned on the Email.
    • 21.
      • No. 16
    • 56
      • 哦,题目看错了,答案应该是16.如果问同一种颜色的袜子6双至少要多少的话,则应该是56
    • 17,这是一道GMAT 题
      • no,16
        • binzhou有老虎吗?动物园跑出来的?
          • u are mistaken. 是一只叫binzhou的老虎
            • 看名字象从binzhou的酒吧里跑出来的老虎
        • 五只五只取,最差的情况每次都是五种颜色,再取一只即满足六对
          • 不对,照你这取法,只取11只,是怎么也不可能取到6双的,应该是取16只
            • 假想每次取五只,取三次!
    • 16
    • 打开台灯,拉开抽屉,找出6双,共12只。
    • 像这种问题是数论中的抽屉原理。具体到这题来说,取6只,至少能配成一对。到配成5对时,你共有的袜数是:5对=10只,每种颜色各一只=5只,然后再取一只,无论如何都会有6对了,就是answer。
      • 要保证有五对,应拿14只。
        • 没错呀!5对14只,6对16只,7对18只呀!!
          • 应该是16只.最差情况取5只不重色,第6只配一双.但是在最差情况下第7只可能和陪对的袜子是一种颜色,所以要取第8只才能配成两双.以此类推,陪6双要16只.