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There are 6 children at a family reunion, 3 boys and 3 girls.

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Senior Manager
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Joined: 02 Jan 2017
Posts: 312
Location: Canada
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There are 6 children at a family reunion, 3 boys and 3 girls.  [#permalink]

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New post 17 Feb 2017, 21:37
3
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (01:23) correct 40% (01:35) wrong based on 60 sessions

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There are 6 children at a family reunion, 3 boys and 3 girls. They will be lined up single-file for a photo, alternating genders. How many arrangements of the children are possible
for this photo?

A.54
B.72
C.18
D.81
E.36
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Re: There are 6 children at a family reunion, 3 boys and 3 girls.  [#permalink]

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New post 17 Feb 2017, 22:14
there are 3 place / slots for girls and boys.
So they can be arranged in 3! * 3! ways.

again the starting number can have 2 variations.
thus total number of arrangement = 2*3!*3! = 72
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Master with structure - Numerical comparison [source: economist.com] https://gmatclub.com/forum/master-with-structure-numerical-comparison-233657.html#p1801987

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Re: There are 6 children at a family reunion, 3 boys and 3 girls.  [#permalink]

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New post 17 Feb 2017, 22:23
Oops. I missed to multiply with 2. Thus got only 36.
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Re: There are 6 children at a family reunion, 3 boys and 3 girls. &nbs [#permalink] 17 Feb 2017, 22:23
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There are 6 children at a family reunion, 3 boys and 3 girls.

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