Question

if 2*np2+50=2np2,find n

Answer 1

Step-by-step explanation:

wow what a question sad to see so few questions

Answer 2

The value of n is 5.

Step-by-step explanation:

Given : Expression $2\times ^nP_2+50=^{2n}P_2$

To find : The value of n ?

Solution :

The permutation formula is

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

Applying in the given expression,

$2\frac{n!}{(n-2)!}+50=\frac{2n!}{(2n-2)!}$

$2\frac{n(n-1)(n-2)!}{(n-2)!}+50=\frac{2n(2n-1)(2n-2)!}{(2n-2)!}$

$2n(n-1) + 50 = 2n(2n-1)$

$2n^2-2n + 50 = 4n^2-2n$

$2n^2=50$

$n^2=25$

$n=\sqrt{25}$

$n=5$

Therefore, the value of n is 5.

#Learn more

6+nP2 : 6-nP2 = 56:12

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