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Hard Level Question 20 – answer, explanation & discussion

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Question 20 Back to Exercise

In how many ways can 5 boys and 4 girls stand in a row so that no two girls are next to each other?

  • A 2,880
  • B 43,200 Correct
  • C 17,280
  • D 86,400
Correct Answer: Option B

Boys first: 5! = 120

6 gaps around them; girls take 4 gaps in order: 6P4 = 360

120 × 360 = 43,200

Trap: 2,880 puts the girls in fixed gaps.

Answer: 43,200

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