Question

np4:np5=1:2 n value​

Answer 1

Step-by-step explanation:

n!/(n-4)!:n!/(n-5)!=1:2

=n!/(n-4)(n-5)!×(n-5)!/n!=1/2

=1/n-4=1/2

=n-4=2

n=6

Answer 2

The value of n is 6.

Step-by-step explanation:

Given : Expression $^nP_4: ^nP_5=1:2$

To find : The value of n ?

Solution :

The permutation formula is $^nP_r=\frac{n!}{(n-r)!}$

Writing the expression as,

$\frac{n!}{(n-4)!}: \frac{n!}{(n-5)!}=1:2$

$\frac{\frac{n!}{(n-4)!}}{\frac{n!}{(n-5)!}}=\frac{1}{2}$

$\frac{(n-5)!}{(n-4)!}=\frac{1}{2}$

$\frac{(n-5)!}{(n-4)(n-5)!}=\frac{1}{2}$

$\frac{1}{n-4}=\frac{1}{2}$

$n-4=2$

$n=6$

Therefore, the value of n is 6.

#Learn more

If np5:n-1p4=8:1 find the value of n.​

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