Question

From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done ?

Answer 1

No. of players = 15
No. of players to be selected = 11
Number of combinations $={}^{15}{C}_{11}$
$=\frac{15!}{11!4!}=\frac{15\times 14\times 13\times 12}{4\times 3\times 2}$
= 1365 ways