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3 married couples have to be arranged on 6 seats in a row. In how ma
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29 Oct 2024, 01:15
29 Oct 2024, 01:15
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Question Stats:
66% (01:10) correct
33% (02:16) wrong based on 3 sessions
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3 married couples have to be arranged on 6 seats in a row. In how many ways can they be arranged on the seats, such that none of the couples is separated?
A. 24
B. 36
C. 48
D. 60
E. 72
A. 24
B. 36
C. 48
D. 60
E. 72
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Re: 3 married couples have to be arranged on 6 seats in a row. In how ma
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29 Oct 2024, 08:47
29 Oct 2024, 08:47
1
To arrange the 3 married couples in a row without separating any couple, treat each couple as a single unit or block. First, arrange these 3 blocks, which can be done in 6 ways. Then, within each block, the couple can switch places, giving 8 ways for all couples. Multiply the two results to find the total arrangements, which is 48.
gmatclubot
Re: 3 married couples have to be arranged on 6 seats in a row. In how ma [#permalink]
29 Oct 2024, 08:47
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