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# From a group of three boys and four girls, a school hallway monitor gr

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Math Expert
Joined: 02 Sep 2009
Posts: 51072
From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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02 Apr 2017, 23:38
00:00

Difficulty:

15% (low)

Question Stats:

80% (00:52) correct 20% (01:21) wrong based on 111 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?

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

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Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
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WE: Web Development (Computer Software)
Re: From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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03 Apr 2017, 01:13
1
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
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Manager
Joined: 18 Oct 2016
Posts: 139
Location: India
WE: Engineering (Energy and Utilities)
Re: From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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03 Apr 2017, 03:31
Option B

Out of 3 Boys and 4 Girls, a group of 1 Boy and 3 Girls can be formed in 3C1 x 4C3 = 12 ways
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CEO
Joined: 11 Sep 2015
Posts: 3227
Re: From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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10 Nov 2017, 09:37
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)

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

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Re: From a group of three boys and four girls, a school hallway monitor gr &nbs [#permalink] 10 Nov 2017, 09:37
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