Question

nP3:nP2=3:1,then n is equal to

Answer 1

Answer:

n  is equal to 5

step-by-step explanation:

Concept:

$\bf\;^nP_r=n(n-1)(n-2)..........r\;factors$

Given:

$^nP_3:\;^nP_2=3:1$

$\implies\displaystyle\frac{^nP_3}{^nP_2}=\frac{3}{1}$

$\implies\displaystyle\frac{n(n-1)(n-2)}{n(n-1)}=3$

$\implies\;n-2=3$

$\implies\;n=3+2$

$\implies\boxed{\bf\;n=5}$

Answer 2

Answer:

nP3/nP2=3/1

n(n-1)(n-2)/n(n-1)=3

n-2=3

n=5

answer