Mathematics: Evaluate 8p4 how can i evaluate this problem

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Evaluate 8p4 how can i evaluate this problem

austinmiller3030

08.01.2022

^8P_4=1680

Step-by-step explanation:

Given: ^8P_4

Formula:

$^nP_r=\dfrac{n!}{(n-r)!}$

It is permutation formula which helps to find number of arrangement.

If we have three digits and to find how many different three digit number be form. We can find using permutation.

Using formula,

$^nP_r=\dfrac{n!}{(n-r)!}$

$^8P_4=\dfrac{8!}{(8-4)!}$

$^8P_4=\dfrac{8!}{4!}$

$^8P_4=\dfrac{8\times 7\times 6\times 5\times 4!}{4!}$

Cancel 4! from top and bottom

$^8P_4=8\times 7\times 6\times 5$

^8P_4=1680

Hence, The value of ^8P_4 is 1680

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