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

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Joined: 02 Sep 2009
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Find the number of ways in which 5 boys and 5 girls may be seated in a  [#permalink]

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New post 29 Jan 2019, 23:49
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

46% (01:25) correct 54% (01:57) wrong based on 35 sessions

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Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: Find the number of ways in which 5 boys and 5 girls may be seated in a  [#permalink]

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New post Updated on: 31 Jan 2019, 01:54
Bunuel wrote:
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.

A. 120
B. 240
C. 2,888
D. 14,440
E. 28,880


IMO D
Boys 5! and girl 5!
120*120 = 14440
alternative sitting boys & girls = 14440*2 ; 28880 IMO E
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Originally posted by Archit3110 on 30 Jan 2019, 02:40.
Last edited by Archit3110 on 31 Jan 2019, 01:54, edited 1 time in total.
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Re: Find the number of ways in which 5 boys and 5 girls may be seated in a  [#permalink]

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New post 30 Jan 2019, 14:06
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Archit3110 wrote:
Bunuel wrote:
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.

A. 120
B. 240
C. 2,888
D. 14,440
E. 28,880


IMO D
Boys 5! and girl 5!
120*120 = 14440


You missed the two arrangements. As per the question, boys and girls will sit alternatively. Thus, there will be two cases, one in which a boy will take the first position and the other one in which a girl will take the first position. So E will be the answer
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Re: Find the number of ways in which 5 boys and 5 girls may be seated in a   [#permalink] 30 Jan 2019, 14:06
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Find the number of ways in which 5 boys and 5 girls may be seated in a

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