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From a group of three boys and four girls, a school hallway monitor gr
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03 Apr 2017, 00:38

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A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

75% (00:40) correct 25% (00:54) wrong based on 110 sessions

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From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be formed of one boy and three girls, how many different such groups can be formed?

Re: From a group of three boys and four girls, a school hallway monitor gr
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03 Apr 2017, 02:13

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Bunuel wrote:

From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be formed of one boy and three girls, how many different such groups can be formed?

A. 4 B. 12 C. 36 D. 72 E. 288

one boy can be selected from 3 boys in 3 ways 3 girls can be selected from 4 girls in 4C3 = 4 ways

the total number of ways in which the groups can be formed = 3*4 =12

Hence option B is correct Hit Kudos if you liked it

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10 Nov 2017, 10:37

Top Contributor

Bunuel wrote:

From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be formed of one boy and three girls, how many different such groups can be formed?

A. 4 B. 12 C. 36 D. 72 E. 288

Take the task of creating the hallway monitor group and break it into stages.

Stage 1: Select two boys for the group Since the order in which we select the boys does not matter, we can use combinations. We can select 2 boys from 3 boys in 3C2 ways (3 ways) So, we can complete stage 1 in 3 ways

Stage 2: Select two girls for the group We can select 3 girls from 4 girls in 4C3 ways (4 ways) So, we can complete stage 2 in 4 ways

By the Fundamental Counting Principle (FCP), we can complete the two stages (and thus create the hallway monitor group) in (3)(4) ways (= 12 ways)

Answer: C

Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn it.