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How many ways five boys and five girls can stand in a circle
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24 Aug 2016, 18:49
24 Aug 2016, 18:49
00:00
Question Stats:
99% (01:21) correct
0% (00:00) wrong based on 7 sessions
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How many ways five boys and five girls can stand in a circle so that each boy and each girl is one after one other??
A. \(4! \times 5!\)
B. \(10!\)
C. \(5! + 5!\)
D. \(9!\)
E. \(5!+4!\)
A. \(4! \times 5!\)
B. \(10!\)
C. \(5! + 5!\)
D. \(9!\)
E. \(5!+4!\)
Re: P&C
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26 Aug 2016, 06:08
26 Aug 2016, 06:08
1
No. of circular permutations of n distinct things is (n-1)!
So 5 boys can be arranged in (5-1)! = 4!
and 5 girls can be arranged in 5! ways in the space between the boys,
therefore answer is 4! x 5!
So 5 boys can be arranged in (5-1)! = 4!
and 5 girls can be arranged in 5! ways in the space between the boys,
therefore answer is 4! x 5!
Re: How many ways five boys and five girls can stand in a circle
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23 Nov 2021, 19:17
23 Nov 2021, 19:17
it needs to be 2*4!*5!
