xcopyv4n

2023-03-11

What is $C35$?

Keira Fitzpatrick

Determine $C35$.
we know,$Crn=\frac{n!}{r!\left(n-r\right)!}$
To calculate, put $n=5,r=3$ in the above formula:
$Crn=\frac{n!}{r!\left(n-r\right)!}⇒C35=\frac{5!}{3!\left(5-3\right)!}⇒C35=\frac{5!}{3!\left(5-3\right)!}⇒C35=\frac{5!}{3!\left(2\right)!}⇒C35=\frac{5×4×3!}{3!×2×1}⇒C35=\frac{5×4}{2×1}⇒C35=5×2⇒C35=10$
Consequently, the necessary value is $C35=10$

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