engineering mathematics MCQ #3967

In how many ways can 5 boys and 3 girls be seated in a row such that no two girls are together?

engineering mathematics MCQ #3967

  1. Question 1

    Q1. In how many ways can 5 boys and 3 girls be seated in a row such that no two girls are together?

    • A) 6! * 7C3
    • B) 5! * 6C3 * 3!
    • C) 6! * 7P3
    • D) 5! * 6P3

    Answer: 5! * 6C3 * 3!

    Explanation: First arrange 5 boys in 5! ways, then select 3 places out of 6 for girls in 6C3 ways, and arrange them in 3! ways.