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?
A) (1/3)^6 * (1/2)^3
B) (1/3)^6 * (1/2)
C) (1/3)^4
D) (1/3)^2 * (1/2)
E) 5 * (1/3)^2
I solved this question and found no matching answer
however the OA given was C..this is from one of the Princeton review CATs.[/spoiler][/quote]
A) (1/3)^6 * (1/2)^3
B) (1/3)^6 * (1/2)
C) (1/3)^4
D) (1/3)^2 * (1/2)
E) 5 * (1/3)^2
I solved this question and found no matching answer
however the OA given was C..this is from one of the Princeton review CATs.[/spoiler][/quote]
