Question

16. There are 4 boys and 4 girls. In how many
ways can they be seated in a row so that all
the girls do not sit together?
(1) 37440
(2) 37240
(3) 37240
(4) 37260
(5) None of these​

Answer 1

There are 4 boys and 4 girls; they can be permuted among themselves in 8! = 40320 ways. So, in (120*24) = 2880 ways all the girls can sit together. So, the number of ways that all the girls do not sit together = (40320 - 2880) = 37440.

Therefore your answer is 37440

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