3 Girls and 4 boys are to be seated in a row on 7 chairs in such a way that all the three girls alwa...........

Quantitative Aptitude ( CCS) Permutation & Combination

3 Girls and 4 boys are to be seated in a row on 7 chairs in such a way that all the three girls always sit together. In how many different ways can it be done?

720

576

144

480

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Explanation:

Total number of persons = 3 girls + 4 boys = 7 The girls always sit together.
Considering three girls as one person, we have 5 persons who can be arranged in 5! ways. But corresponding to each way of these arrangements, the girls can be arranged together in 3! ways.
Hence, required number of ways = 5! × 3! = 120 × 6