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Chelsea is a very independent woman who happens to be blind. She is packing for an overnight trip to the city, where she will be meeting her sister. She will need to pack one set of clothes for the next day. Chelsea doesn't have anyone to assist her in the task. This is no problem when it comes to packing all of her clothes, except for her socks.

In Chelsea's drawer there are five identical pairs of white socks, and five identical pairs of black socks, all jumbled together (not matched into pairs). There are no other socks in the drawer. Chelsea figures she will just grab enough socks to be sure she is getting a matching pair, and then once she has arrived at her destination, she will consult her sister on the color.

QUESTION: How many socks will Chelsea need to take from the drawer to be sure that she is getting at least one matching pair?

2006-07-19 09:56:43 · 25 answers · asked by Anonymous in Science & Mathematics Mathematics

25 answers

Three

2006-07-19 10:00:19 · answer #1 · answered by Jimmy 5 · 1 0

3

2006-07-20 18:58:24 · answer #2 · answered by let the speakers blow your mind 5 · 0 0

3

2006-07-19 23:38:43 · answer #3 · answered by Anonymous · 0 0

3

2006-07-19 21:18:08 · answer #4 · answered by Hibernating Ladybird 4 · 0 0

3

2006-07-19 19:49:57 · answer #5 · answered by prince 1 · 0 0

3

2006-07-19 17:14:52 · answer #6 · answered by sexi_lil_chick 2 · 0 0

3

2006-07-19 17:00:13 · answer #7 · answered by Anonymous · 0 0

6

2006-07-19 17:01:47 · answer #8 · answered by TKO 3 · 0 0

3 socks. Lets follow all the cases:

EITHER the first 2 socks she picks up will match and the 3rd makes no diference
OR the first 2 socks she picks up will not match, then (because there are only 2 posiblities) the 3rd sock will match one of the first 2.

2006-07-19 17:31:57 · answer #9 · answered by hackmaster_sk 3 · 0 0

3 socks. Each sock could be white or black. Either she will get a matching pair with the first two socks, or she will have one white and one black sock. With the third sock, she will have another either white or black sock and complete a pair if her first two socks didn't match.

2006-07-19 17:00:50 · answer #10 · answered by Cara B 4 · 0 0

16

2006-07-19 17:02:50 · answer #11 · answered by sunshine1 3 · 0 0

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