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

Question

Philoid · Accepted Answer

Given that we need to choose 11 players for a team out of available 15 players,

It is similar to choosing ‘r’ combinations out of ‘n’ items.

i.e., ⁿC_r ways.

Let us assume the choosing the no. of ways be N,

⇒ N = choosing 11 players out of 15 players

⇒ N = ¹⁵C₁₁

We know that

And also n! = (n)(n – 1)(n – 2)…………2.1

⇒

⇒ N = 1365 ways

∴ The total no. of ways of choosing 11 players out of 15 is 1365 ways.