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You have several single socks in your drawer. They are all the same style but 9 of them are green and 8 of them are purple. Assuming you cannot see the colors, what is the smallest number of socks you have to remove from the drawer so you are guaranteed to have a pair that is the same color?

2007-02-06 05:31:35 · 2 answers · asked by LALALAND 1 in Science & Mathematics Mathematics

2 answers

It would be impossible to draw more than 3 socks without making a matching pair.

Since there are only 2 colors, the third sock drawn would have to match one of the first two, unless the first two matched. So the answer is 3.

Hope this helps! :)

2007-02-06 05:35:11 · answer #1 · answered by disposable_hero_too 6 · 0 0

Remove two → they may be different.
Remove a third sock → it will match one of the other two, if the two didn't already.

Answer: Three.

2007-02-06 13:36:19 · answer #2 · answered by Anonymous · 0 0

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