(Q). 15 singers were selected to perform in a party, but at a time only 5 singers can perform, then total how many times performance was done if no same group of 5 singers performed twice?
Solution:-
Number of singers = 15
Number of singers selected at a time = 5
& Since no group of 5 singers performed twice.
∴ out of 15 singers 5 can be selected in ¹⁵C₅ ways.
Hence Answer = ¹⁵C₅