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Question

Question: The number of ways in which 5 boys and 3 girls can be seated in a row so that each girl in between t...

The number of ways in which 5 boys and 3 girls can be seated in a row so that each girl in between two boys

A

2880

B

1880

C

3800

D

2800

Answer

2880

Explanation

Solution

(1) First, we seat 5 boys, which can be done in 5! Ways B x B x B x B x B. Three girls can be seated in places marked 'x' in 4P3 ways.

∴Total ways = 5!. 4P3 = 2880.