Question

Six boys and four girls enter a railway compartment having 5 seats on each side. In how many ways can they occupy the seats if the girls are to occupy only the corner seats?

Answer 1

Here 4 girls can occupy the 4 corner seats (2 on either side) in 4! ways and the remaining 6 seats can be occupied by 6 boys in 6! ways. Hence the total number of ways
= 6!. 4! = 720 x 24 = 17280.