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?
Solution
Correct Answer: Option B
Consider the 3 girls as one unit. Then we have 4 + 1 = 5 people. They can be arranged in 5! = 120 ways. The 3 girls among themselves can be arranged in 3! = 6 ways.
The number of required arrangements = 120 × 6 = 720 ways.
Hence, the answer is 720,
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