nP3 : nP2 =3 : 1 then n is equal to
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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\}
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