Question

Number of ways in which 10 boys can we take positions about a round table if two particular boys must not be seated side by side

Answer 1

Answer:

282,240 ways

Step-by-step explanation:

Number of ways in which 10 people can be seated around a round table without any condition is 9!

Let us consider the two boys as one entity, and also assume they always sit next to each other.

Therefore, number of ways in which 9 people can be arranged around a round table is 8!

The two boys can be arranged in 2! ways.

Therefore, the number of ways in which 10 boys can we take positions about a round table if two particular boys must not be seated side by side is

9! - (8!*2) = 282,240 ways