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# A class consists of 5 boys and 4 girls. Given that one kid can only ho

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Math Expert
Joined: 02 Sep 2009
Posts: 61301
A class consists of 5 boys and 4 girls. Given that one kid can only ho  [#permalink]

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25 Nov 2019, 00:22
00:00

Difficulty:

45% (medium)

Question Stats:

55% (01:30) correct 45% (02:02) wrong based on 33 sessions

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A class consists of 5 boys and 4 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?

A. 9
B. 18
C. 32
D. 60
E. 240

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Re: A class consists of 5 boys and 4 girls. Given that one kid can only ho  [#permalink]

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25 Nov 2019, 02:30
for boyes = 5c2*2! ; 20
for girls = 4c2*2! ; 12
total 32
IMO C

Bunuel wrote:
A class consists of 5 boys and 4 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?

A. 9
B. 18
C. 32
D. 60
E. 240

Are You Up For the Challenge: 700 Level Questions
VP
Joined: 24 Nov 2016
Posts: 1207
Location: United States
A class consists of 5 boys and 4 girls. Given that one kid can only ho  [#permalink]

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25 Nov 2019, 08:49
Bunuel wrote:
A class consists of 5 boys and 4 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?

A. 9
B. 18
C. 32
D. 60
E. 240

5C2 (ways to choose 2 titles of 5 boys) * 2 (pick clown first pet second, or pet first clown second) = 20
4C2 … * 2 … = 12
Total = 20+12 = 32

Ans (C)
A class consists of 5 boys and 4 girls. Given that one kid can only ho   [#permalink] 25 Nov 2019, 08:49
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