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

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=


15C11=


15C11=


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.


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