In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate?

A ) 144 ✅

B ) 288

C ) 12

D ) 256


Explanation:

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate?

Trick: Since there is one more boy, the arrangement must be:

B G B G B G B

Arrange 4 boys = 4! = 24 ways
Arrange 3 girls = 3! = 6 ways

Total ways = 4! × 3!
= 24 × 6
= 144

Answer: 144 ways