How many different teams of 11 players can be chosen from 15 players?
How many different teams of 11 players can be chosen from 15 players?

Answer : Condition: Each student has an equal chance of getting selected.

Imagine selecting the teammates one at a time. There are 15 ways of selecting the first teammate, 14 ways of selecting the second, 13 ways of selecting the third teammate, and so on down to 5 ways of selecting the eleventh teammate.

This is a problem of combination

⇒n=15 & r=11

⇒ nCr= 15C11

15C11=1365

Ans: There can be 1365 different ways of choosing 11 players from a squad of 15. This means there can be 1365 eleven-member teams formed with 15 players.