Question

Find the value of n if nP2=30

Answer 1

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Answer 2

The value of n is 6.

Step-by-step explanation:

Given : Expression $^nP_2=30$

To find : The value of the expression ?

Solution :

We know, $^nP_r=\frac{n!}{(n-r)!}$

Here, n=n and r=2

Substitute the values,

$\frac{n!}{(n-2)!}=30$

$\frac{n(n-1)(n-2)!}{(n-2)!}=30$

$n(n-1)=30$

$n^2-n-30=0$

$n^2+5n-6n-30=0$

$n(n+5)-6(n+5)=0$

$(n+5)(n-6)=0$

$n=-5,6$

Reject n=-5.

The value of n is 6.

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ind the value of n if nP2

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