Problem Solving

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?

Please do give the answer.

According to me it is 25/36

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

Yup 23/54.

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

Pls post OA