# From a group of 15 cricket players, a team of 11 players is to be chosen.

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?

Solution:

Required number of ways $={ }^{15} C_{11}$

Now, ${ }^{15} C_{11}={ }^{15} C_{4}$

$=\frac{15}{4} \times \frac{14}{3} \times \frac{13}{2} \times \frac{12}{1} \times 11 C_{0}$

= 1365