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Six children, three boys, and three girls
[#permalink]
Updated on: 15 Oct 2019, 03:39

1

Question Stats:

Six children, three boys, and three girls sit in a row on a park bench. How many arrangements of children are possible if no boy can sit on either end of the bench?

Indicate all possible values.

A. 46,656

B. 38,880

C. 1,256

D. 144

E. 38

Indicate all possible values.

A. 46,656

B. 38,880

C. 1,256

D. 144

E. 38

Re: Counting
[#permalink]
19 Jul 2018, 18:01

2

1

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Re: Six children, three boys, and three girls
[#permalink]
30 Sep 2019, 03:21

this question is actual quite hard

Re: Six children, three boys, and three girls
[#permalink]
12 Oct 2019, 11:13

2

We have 2 girls sit at the 2 ends, therefore we have P(3,2) = 6 (order is important here so we can't use C). That will leave 4 people, 3 boys and 1 girl in the middle. Since they can sit anywhere, in whatever arrangment, we have P(4,4) or 4! = 24. Total possible arrangement is 6*24 = 144. Answer is D.

Re: Six children, three boys, and three girls
[#permalink]
18 Jun 2021, 03:22

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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