Question

The chairman of the community bazaar is assigning people to chair committees. How many different ways can the 6 people be assigned to chair the subcommittees?

Answer 1

The 6 people be assigned in 720 different ways to chair the subcommittees.

Explanation:

Given that,

• There are 6 people to be assigned to the chair committees.
• So, you need to find that in how many ways they can be assigned their seats.

This can be calculated by Permutation.

The number of arrangements in which the order of the objects matters is calculated as permutation.

The permutation is given as ⇒ P = n!

Here we can 6 people to be assigned. Therefore n = 6.

⇒ Number of ways can be arranged = 6!

⇒ 6×5×4×3×2×1

⇒ 720

∴ The 6 people be assigned in 720 different ways to chair the subcommittees.