Question

Find $C(8,3)$.

• A. $\frac{P(8,3)}{3!}$
• B. $C(8,5)$
• C. $56$
• D. $P(8,5)$

Answer 1

Answer: (A), (B), (C)

The correct options are
A $\frac{P(8,3)}{3!}$
B $C(8,5)$
C $56$

We know that

$C(n,r)=\frac{P(n,r)}{r!},C(n,r)=C(n,n-r)$

$\therefore C(8,3)=\frac{P(8,3)}{3!}$ and $C(8,3)=C(8,8-3)=C(8,5)$

Also, $C(8,3)=\frac{8!}{3!5!}=56$