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 :
⇒ [tex]nP_r = \dfrac{n!}{(n-r)!}[/tex]
According to question we have following parameters as : n = 6 , r = 4
⇒ [tex]6P_4 = \dfrac{6!}{(6-4)!}[/tex]
⇒ [tex]6P_4 = \dfrac{6!}{(2)!}[/tex]
⇒ [tex]6P_4 = \frac{6(5)(4)(3)2!}{(2)!}[/tex]
⇒ [tex]6P_4 =360[/tex]
Therefore , 360 arrangements of 4 bridesmaids from her 6 closest friends are possible !
