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 !

Step-by-step 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 :

⇒ $nP_r = \dfrac{n!}{(n-r)!}$

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

⇒ $6P_4 = \dfrac{6!}{(6-4)!}$

⇒ $6P_4 = \dfrac{6!}{(2)!}$

⇒ $6P_4 = \frac{6(5)(4)(3)2!}{(2)!}$

⇒ $6P_4 =360$

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