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man chooses clothing question

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man chooses clothing question

by slortta » Thu Mar 25, 2010 12:47 am
A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 3 different pants. If he randomly selects 1 shirt, 1 pair of shoes, and 1 pair of pants each morning for 3 days, what is the probability that he wears the same pair of shoes each day, but that no other piece of clothing is repeated?
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by eaakbari » Thu Mar 25, 2010 12:00 pm
Please do give the answer.

According to me it is 25/36
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by analyst218 » Thu Mar 25, 2010 12:27 pm
slortta wrote:A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 3 different pants. If he randomly selects 1 shirt, 1 pair of shoes, and 1 pair of pants each morning for 3 days, what is the probability that he wears the same pair of shoes each day, but that no other piece of clothing is repeated?
23/54

he will have 3x2x3 = 18 choices everyday.
since he can't repeat shirt and pants and have only 1 choice of shoes after the first day.
1st day: 3x2x3
2nd day: 2x1x2
3rd day: 1x1x1
--------
23 choices
OA please
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by godspeed » Thu Mar 25, 2010 5:56 pm
Yup 23/54.

[(3c1*2c1*3c1)+(2c1*1*2c)+(1c1*1*1c1)]/[(3c1*2c1*3c1)*3]

Pls post OA
~GS
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