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Bunuel
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From a group of three boys and four girls, a school hallway monitor gr 27 Mar 2017, 04:54
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E
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78% (00:54) correct 22% (01:12) wrong based on 206 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 three boys and two girls, how many different such groups can be formed?

A. 72
B. 36
C. 21
D. 12
E. 6
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E
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From a group of three boys and four girls, a school hallway monitor gr 27 Mar 2017, 07:37
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3 boys can be selected in only one way

number of ways to select a two girls = 4c2 = 6
hence ans E
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From a group of three boys and four girls, a school hallway monitor gr 27 Mar 2017, 08:16
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Bunuel
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 three boys and two girls, how many different such groups can be formed?

A. 72
B. 36
C. 21
D. 12
E. 6
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Take the task of forming a school hallway monitor group and break it into stages.

Stage 1: Select 3 boys for the group
Since there are only 3 boys to choose from, there's only 1 way to select 3 boys (we must select ALL of them to be in the hallway monitor group)
So, we can complete stage 1 in 1 way

Stage 2: Select 2 girls for the group
Since the order in which we select the girls does not matter, we can use combinations.
We can select 2 girls from 4 girls in 4C2 ways (6 ways)
So, we can complete stage 2 in 6 ways

By the Fundamental Counting Principle (FCP), we can complete the 2 stages (and thus form a school hallway monitor group) in (1)(6) ways (= 6 ways)

Answer: E

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From a group of three boys and four girls, a school hallway monitor gr 27 Mar 2017, 08:26
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Bunuel
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 three boys and two girls, how many different such groups can be formed?

A. 72
B. 36
C. 21
D. 12
E. 6
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3b , 4g

Selecting 3 boys from the group = \(3C_3\) = 1 ways
Selecting 2 boys from the group = \(4C_2\) = 6 ways

So, The total number of groups that can be formed is 1*6 = 6 ways, answer must be (E) 6 ways...
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From a group of three boys and four girls, a school hallway monitor gr 28 Mar 2017, 03:04
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Since all 3 boys will always be part of any group formed, focus on number of ways 2 girls can be picked from the 4.

4!/2!2! = 12/2 = 6
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From a group of three boys and four girls, a school hallway monitor gr 29 Mar 2017, 10:08
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Bunuel
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 three boys and two girls, how many different such groups can be formed?

A. 72
B. 36
C. 21
D. 12
E. 6
Show more

Since the order of the group does not matter, we have a combination problem.

We need to determine the number of ways to select 3 boys from 3 and 2 girls from 4. Let’s start with the boys:

3C3 = 1 way

Next we can select the girls:

4C2 = (4 x 3)/2! = 12/2 = 6 ways

Thus, the number of ways of selecting 3 boys and 2 girls is 1 x 6 = 6.

Answer: E
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From a group of three boys and four girls, a school hallway monitor gr 22 Dec 2025, 14:39
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