Question

For a wedding the bride must select 4 bridesmaids from her 6 closest friends and must arrange them in order for the ceremony. How many arrangements of 4 bridesmaids from her 6 closest friends?

Answer 1

360 arrangements of 4 bridesmaids from her 6 closest friends are possible !

Explanation:

Here we have , For a wedding the bride must select 4 bridesmaids from her 6 closest friends and must arrange them in order for the ceremony. We need to find How many arrangements of 4 bridesmaids from her 6 closest friends. Let's find out:

We know that formula for permutation is given by :

⇒
`nP_r = (n!)/((n-r)!)`

According to question we have following parameters as : n = 6 , r = 4

⇒
`6P_4 = (6!)/((6-4)!)`

⇒
`6P_4 = (6!)/((2)!)`

⇒
`6P_4 = (6(5)(4)(3)2!)/((2)!)`

⇒
`6P_4 =360`

Therefore , 360 arrangements of 4 bridesmaids from her 6 closest friends are possible !