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

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Senior Manager
Joined: 02 Jan 2017
Posts: 291
There are 6 children at a family reunion, 3 boys and 3 girls.  [#permalink]

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17 Feb 2017, 21:37
1
4
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:15) correct 31% (01:28) wrong based on 110 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
Manager
Status: Just redeemed Kudos for GMAT Club Test !!
Joined: 14 Sep 2013
Posts: 93
GMAT 1: 530 Q40 V23
GPA: 3.56
WE: Analyst (Commercial Banking)
Re: There are 6 children at a family reunion, 3 boys and 3 girls.  [#permalink]

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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
Intern
Joined: 01 Nov 2015
Posts: 7
Re: There are 6 children at a family reunion, 3 boys and 3 girls.  [#permalink]

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17 Feb 2017, 22:23
Oops. I missed to multiply with 2. Thus got only 36.
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Joined: 09 Sep 2013
Posts: 13739
Re: There are 6 children at a family reunion, 3 boys and 3 girls.  [#permalink]

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06 Jan 2019, 18:30
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Re: There are 6 children at a family reunion, 3 boys and 3 girls.   [#permalink] 06 Jan 2019, 18:30
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