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# Find the number of ways in which 5 boys and 5 girls may be

Author Message
Director
Joined: 03 Jul 2003
Posts: 651

Kudos [?]: 101 [0], given: 0

Find the number of ways in which 5 boys and 5 girls may be [#permalink]

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06 Jan 2004, 16:04
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls are together.

Kudos [?]: 101 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 56 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch
Re: Comb - boys and girls [#permalink]

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06 Jan 2004, 16:32
Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls are together.

could be

G B G B G B G B G B

or

B G B G B G B G B G

thus (5! x 5!)x2 = 28,880

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Director
Joined: 03 Jul 2003
Posts: 651

Kudos [?]: 101 [0], given: 0

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06 Jan 2004, 17:25
Ans: 28800 is correct!

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

Kudos [?]: 523 [0], given: 0

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06 Jan 2004, 17:46
Yup, forgot the possibility that it could interchangeably start by a boy or a girl
_________________

Best Regards,

Paul

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Director
Joined: 03 Jul 2003
Posts: 651

Kudos [?]: 101 [0], given: 0

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09 Jan 2004, 14:26
Sorry folks!
This answer is correct if "Find the number of ways in which 5 boys and 5 girls can be seated alternately in a row?"
Ans: 28800 is correct!

The correct answer for the posted question is 86400.

Kudos [?]: 101 [0], given: 0

09 Jan 2004, 14:26
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