(Q). How many teams of 9 players an be made from 30 players if Ankit, Mohit and Neeraj can not be selected together?
Solution:-
Without any restriction 9 players an be selected from 30 players in ³⁰C₉ ways & when Ankit, Mohit & Neeraj are always selected then 9 players teams can be made in ²⁷C₆ ways.
∴ required number of ways = ³⁰C₉ – ²⁷C₆ Answer