Multiple choice

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

  1. 75

  2. 576

  3. 288

  4. 24

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Treat boys as one block and girls as another block. Boys internally: 4! ways. Girls internally: 3! ways. The two blocks can be arranged in 2! ways. Total = 4! × 3! × 2! = 24 × 6 × 2 = 288. Option C is correct.

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