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# A man chooses an outfit from 3 different shirts, 2 different

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Manager
Joined: 19 Aug 2007
Posts: 166

Kudos [?]: 68 [0], given: 0

A man chooses an outfit from 3 different shirts, 2 different [#permalink]

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23 Dec 2007, 22:53
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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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

Kudos [?]: 68 [0], given: 0

Director
Joined: 03 Sep 2006
Posts: 862

Kudos [?]: 1128 [0], given: 33

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23 Dec 2007, 23:43
jimjohn 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?

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

It should be

(1/3)^2 * (1/2) + (1/2)^2

But none of the above matches! Urghhh....

Kudos [?]: 1128 [0], given: 33

CEO
Joined: 17 Nov 2007
Posts: 3583

Kudos [?]: 4721 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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24 Dec 2007, 00:49

Kudos [?]: 4721 [0], given: 360

24 Dec 2007, 00:49
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