Question

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

• A. 60
• B. 20
• C. 15
• D. 125

Answer 1

The correct option is A

60

Three persons can take 5 seats ${}^5{C}_3$ ways. Morever, 3 persons can sit in 3! ways.

$\therefore$ Required number of ways $={}^5{C}_3\times 3!$

$=10\times 6=60$