Question

The track team has 11 distance runners but can only enter five in the meet.
How many combinations of five runners can the coach create?

462
120
55,440
3,696

Answer 1

Please help.

Answer 2

\[nCr=\frac{n!}{(n-r)!r!}=\frac{11!}{6!5!}\]
\[11C5=\frac{11\times 10\times 9\times 8\times7}{5\times 4\times 3\times 2}\]