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In how many ways can 7 boys and 2 girls ...

In how many ways can 7 boys and 2 girls be seated in a row so that two giirls are together ?

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To solve the problem of seating 7 boys and 2 girls in a row such that the two girls are together, we can follow these steps: ### Step 1: Treat the two girls as a single unit Since the two girls must sit together, we can treat them as one single unit or block. This means instead of having 9 individuals (7 boys + 2 girls), we now have 8 units to arrange (7 boys + 1 block of girls). ### Step 2: Calculate the arrangements of the 8 units Now, we need to arrange these 8 units (7 boys + 1 block of girls). The number of ways to arrange 8 units is given by the factorial of 8, which is calculated as: \[ ...
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