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Question

In how many different ways can 3 boys and 4 girls be arranged in a row such that all boys stand together and all the girls stand together?

A
288
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B
144
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C
72
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D
36
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Solution

The correct option is A 288
Total no. of ways in which girls can stand in the queue = 3! Similarly, for boys = 4! Either boys or girls group can be in the front. So, there are two possible set of arrangements. Hence, the total no. of ways possible =3!×4!×2=288

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