Question

Three persons enter a railway compartment. If there are 5 seats vacant, in how many ways can they take these seats? 

A. 60 

B. 20 

C. 15 

D. 125

Answer 1

Option : (A)

Three persons can take 5 seats in ⁵C₃ ways. 

Also,

3 persons can sit in 3! ways. 

∴ Required number of ways = ⁵C₃ x 3! 

= 10 x 6 

= 60