Question

How many ways can 5 friends sit together at the movies in 5 seats?

Answer 1

120

Explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

`\implies ^n P_r = (n! )/((n-r)!)`

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats.