In how many ways can 4 boys and 5 girls be seated in a row so that they are alternate ........

Quantitative Aptitude ( CCS) Permutation & Combination

In how many ways can 4 boys and 5 girls be seated in a row so that they are alternate?

2180

2680

2880

2480

G B G B G B G B G

The diagram shows the possible arrangement of sitting of boys and girls.

Now, 4 boys can be seated in 4 places in 4P4 = 4! and 5 girls in 5 places in 5! ways.

Reqd no. of ways = 4! × 5! = 24 × 120 = 2880

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