Question

C(52, 5) =



a.
5,804,600

b.
2,598,960

c.
3,385,900

d.
10,922,600

Answer 1

\[
\frac{52!}{5! (52-5)!}=2598960
\]
b

Answer 2

\[
\frac{52!}{5!
(52-5)!}=\frac{52!}{5!
47!}=\frac{48\times49\times 50\times\times 51 \times 52}{120}=2598960
\]