Question

Two persons enter a room in which 11 seats are vacant. In how many ways can they occupy the seats?
1. 25
2. 100
3. 110
4. 90

Answer 1

Correct Answer - Option 3 : 110

The first person can choose any of the 11 vacant seats.

The second person can choose any of the 10 seats which are now available, after the first person occupies one seat.

So, the number of ways in which 2 people can be seated in 11 vacant seats = 11 × 10

= 110

So, 2 people can occupy 11 seats in 110 ways.

Hence, the correct answer is "110".