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In how many ways can 4 boys and 4 girls be arranged in a row
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14 May 2019, 00:38
14 May 2019, 00:38
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92% (01:04) correct
7% (00:37) wrong based on 55 sessions
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In how many ways can 4 boys and 4 girls be arranged in a row such that boys and girls alternate their positions (that is, boy girl)?
(A) 1032
(B) 1152
(C) 1254
(D) 1432
(E) 1564
(A) 1032
(B) 1152
(C) 1254
(D) 1432
(E) 1564
Re: In how many ways can 4 boys and 4 girls be arranged in a row
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22 Aug 2019, 19:00
22 Aug 2019, 19:00
1
Carcass wrote:
In how many ways can 4 boys and 4 girls be arranged in a row such that boys and girls alternate their positions (that is, boy girl)?
(A) 1032
(B) 1152
(C) 1254
(D) 1432
(E) 1564
(A) 1032
(B) 1152
(C) 1254
(D) 1432
(E) 1564
I think I'm finally getting alright at these!
seat 1 we can sit one of 4 boys. so 4 options.
seat 2 we can sit one 4 girls so 4 options.
seat 3 we can sit one of 3 REMAININg boys, so 3 options.
.... (continue the pattern)
and then we flip it the other way. so we multiply it by 2.
2*4!4! = 2 * 4^2 * *3^2 * 2^2 = 2 * 64 * 9 = 2 * 576 = 1152
Re: In how many ways can 4 boys and 4 girls be arranged in a row
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29 Nov 2019, 02:53
29 Nov 2019, 02:53
1
any alternative solution?
