Question

In how many ways can 5 girls be seated in a row of 5 seats?

Answer 1

See a solution process below:

Explanation:

There can `5` girls selected for the first seat.

Then, there are `4` girls to select from for the second seat.

Then, there are `3` girls to select from for the third seat.

Then, there are just `2` girls to select from for the fourth seat.

Then, there is just `1` girl for the fifth and final seat.

Therefore they number of ways to seat 5 girls in 5 seats is:

`color(red)(5 )xx color(red)(4) xx color(blue)(3) xx color(blue)(2) xx 1 => color(red)(20) xx color(blue)(6) xx 1 => 120 xx 1 => 120`

So there are `color(red)(120)` different ways to seat 5 girls in 5 chairs.