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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?
-yj888(无非);
2001-7-14
(#131773@0)
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17
-laoyou(老油);
2001-7-14
(#131775@0)
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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.
-yj888(无非);
2001-7-14
(#131796@0)
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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.
-laoyou(老油);
2001-7-14
(#131811@0)
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hi laoyou. got my message?
-holly(只羡厨师不羡仙);
2001-7-14
(#131812@0)
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Yes, Thanks! I replied already, not got yet?
But I didn't see the post you mentioned on the Email.
-laoyou(老油);
2001-7-14
(#131821@0)
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21.
-michaelchu(Acrobat);
2001-7-14
(#131789@0)
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No. 16
-michaelchu(Acrobat);
2001-7-14
(#131791@0)
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56
-flying_snow(飞雪浮冰);
2001-7-14
(#131794@0)
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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
-flying_snow(飞雪浮冰);
2001-7-14
(#131797@0)
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17,这是一道GMAT 题
-binzhou98(老虎);
2001-7-14
(#131798@0)
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no,16
-binzhou98(老虎);
2001-7-14
(#131801@0)
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binzhou有老虎吗?动物园跑出来的?
-000(老九);
2001-7-14
(#131802@0)
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u are mistaken. 是一只叫binzhou的老虎
-binzhou98(老虎);
2001-7-14
(#131804@0)
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看名字象从binzhou的酒吧里跑出来的老虎
-000(老九);
2001-7-14
(#131807@0)
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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
-binzhou98(老虎);
2001-7-14
(#131803@0)
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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
-guest:;
2001-7-14
(#131860@0)
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假想每次取五只,取三次!
-binzhou98(老虎);
2001-7-14
(#132390@0)
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16
-000(老九);
2001-7-14
(#131799@0)
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打开台灯,拉开抽屉,找出6双,共12只。
-pingle(pingle);
2001-7-14
(#131834@0)
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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。
-michaelchu(Acrobat);
2001-7-14
(#132398@0)
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要保证有五对,应拿14只。
-binzhou98(老虎);
2001-7-14
(#132406@0)
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没错呀!5对14只,6对16只,7对18只呀!!
-michaelchu(Acrobat);
2001-7-14
(#132410@0)
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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.
-guest:;
2001-7-16
(#133434@0)