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From a total of 5 boys and 4 girls, how many 4-person...

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by swerve » Fri Jan 12, 2018 1:45 pm
From a total of 5 boys and 4 grils, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

(A) 16
(B) 24
(C) 60
(D) 120
(E) 240

The OA is C.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.
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by GMATWisdom » Fri Jan 12, 2018 2:55 pm
swerve wrote:From a total of 5 boys and 4 grils, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

(A) 16
(B) 24
(C) 60
(D) 120
(E) 240

The OA is C.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.
2 boys can be selected from 5 boys in 5c2ways=10
2girls can be selected from 4 girls in 4c2 ways=6
therefore 2 boys and 2 girls can be selected in 10x6=60ways
Option C
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by Scott@TargetTestPrep » Tue Aug 06, 2019 4:33 pm
swerve wrote:From a total of 5 boys and 4 grils, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

(A) 16
(B) 24
(C) 60
(D) 120
(E) 240

The OA is C.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.
We can select 2 girls in 4C2 = (4 x 3)/2! = 6 ways.

We can select 2 boys in 5C2 = (5 x 4)/2! = 10 ways.

Thus, the group can be formed in a total of 6 x 10 = 60 ways.

Answer: C

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