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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: 54440
From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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26 Dec 2016, 11:07
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:58) correct 6% (01:59) wrong based on 78 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 two boys and three girls, how many different such groups can be formed?

A. 3
B. 4
C. 12
D. 72
E. 144

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Joined: 23 Oct 2014
Posts: 13
Re: From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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02 Jan 2017, 10:42
Selection of boys 3!/2! = 3
Selection of girls 4!/3! =4
so the different group should be 3*4= 12
So the option C
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Joined: 22 Nov 2016
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Re: From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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28 Jul 2017, 11:37
Since the two events, i.e, picking 2 boys out of 3 and 3 girls out of 4 are two independent events, we can use the combinations approach.

1. Break the question into tasks: Picking 2 boys out of 3 can be done in 3C2 ways = 3
2. Picking 3 girls out of 4 can be done in 4C3 ways = 4
3. Total number of ways to create this group of 5 = 3 x 4 = 12 ways

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Re: From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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28 Jul 2017, 23:59
In order to choose 2 boys from 3, we can choose it in 3c2 ways or 3 ways

In order to choose 3 girls from 4, we can choose it in 4c3 ways or 4 ways.

Therefore, the ways to choose 2 boys and 3 girls are 3*4=12(Option C)

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Re: From a group of three boys and four girls, a school hallway monitor gr  [#permalink]

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29 Jul 2017, 02:55
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 two boys and three girls, how many different such groups can be formed?

A. 3
B. 4
C. 12
D. 72
E. 144

Selection of boys = 3C2 = 3
Selection of girls = 4C3 = 4

Total n. of different ways = 3*4 = 12

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Re: From a group of three boys and four girls, a school hallway monitor gr   [#permalink] 29 Jul 2017, 02:55
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