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Question

In how many ways can 5 boys and 4 girls be arranged on a bench if
(a) If boys and girls are in separate groups
  1. 5760
  2. 5755
  3. 4329
  4. 4000


Solution

The correct option is A 5760
The total number of ways of arranging 5 boys and 4 girls on a bench 
Boys and Girls or Girls and Boys
=5!×4!+4!×5!
=5!×4!×2
=5760

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