Question

In how many ways can a football team of $11$ players be selected from $16$ players so that a particular player be included?

Answer 1

Total there are $16$ players we have to select $11$ players.

one particular player is always selected so the number of ways of choosing remaining $10$ player in remaining $15$ player

$={{15}_C}_{10}=\frac{15!}{5!10!}=3003$