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aaron0828
10.04.2020 •
Mathematics
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?
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Ответ:
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)!}](/tpl/images/0592/9708/be1e1.png)
According to question we have following parameters as : n = 6 , r = 4
⇒![6P_4 = \dfrac{6!}{(6-4)!}](/tpl/images/0592/9708/1daba.png)
⇒![6P_4 = \dfrac{6!}{(2)!}](/tpl/images/0592/9708/daf9b.png)
⇒![6P_4 = \frac{6(5)(4)(3)2!}{(2)!}](/tpl/images/0592/9708/bc92e.png)
⇒![6P_4 =360](/tpl/images/0592/9708/bafad.png)
Therefore , 360 arrangements of 4 bridesmaids from her 6 closest friends are possible !
Ответ:
c
Step-by-step explanation:
just took the test.