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# There are two sets of dancers and a single pair must be

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VP
Joined: 21 Jul 2006
Posts: 1455
There are two sets of dancers and a single pair must be [#permalink]

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20 Sep 2008, 15:24
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There are two sets of dancers and a single pair must be randomly selected from each set. The first set consists of three men and one woman, and the second set consists of two women and one man. What is the probability that two men will be selected from the first set and two women will be selected from the second set?

a) 1/8

b) 1/6

c) 2/7

d) 1/3

e) 1/2

Thanks

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VP
Joined: 05 Jul 2008
Posts: 1337

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20 Sep 2008, 15:36
tarek99 wrote:
There are two sets of dancers and a single pair must be randomly selected from each set. The first set consists of three men and one woman, and the second set consists of two women and one man. What is the probability that two men will be selected from the first set and two women will be selected from the second set?

a) 1/8

b) 1/6

c) 2/7

d) 1/3

e) 1/2

Thanks

Is it B 1/6?

(3 C 2/ 4 C 2) X (2 C 2 / 3 C 2) = (2 C 2 / 4 C 2) = 1/6

2 men out of 3 in 3 C 2 ways

2 out of 4 in 4 C 2 ways.

Second set same logic.
VP
Joined: 21 Jul 2006
Posts: 1455

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20 Sep 2008, 20:23
OA is B, which is 1/6.
VP
Joined: 30 Jun 2008
Posts: 1007

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20 Sep 2008, 21:42
tarek99 wrote:
There are two sets of dancers and a single pair must be randomly selected from each set. The first set consists of three men and one woman, and the second set consists of two women and one man. What is the probability that two men will be selected from the first set and two women will be selected from the second set?

a) 1/8

b) 1/6

c) 2/7

d) 1/3

e) 1/2

Thanks

Total no. of possible outcomes => 4C2*3C2 = 18

Fav. outcomes => 3C2*2C2 = 3

Prob = 3/18 = 1/6

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: PS: Probability   [#permalink] 20 Sep 2008, 21:42
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# There are two sets of dancers and a single pair must be

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