Question

A Kabaddi coach has 14 players ready to play. How many different teams of 7 players could the coach put on the court?

Answer 1

Number of kabaddi players = 14

7 players must be selected from 14 players

Number of ways of selecting 7 players from 14 players is

= ¹⁴C₇

= `(14!)/(7!(14 - 7)!)`

= `(14!)/(7!7!)`

= `(14 xx 13 xx 12 xx 1 xx 10 xx 9 xx 8 xx 7!)/(7! xx 7 xx 6xx 5 xx 4 xx 3 xx 2 xx 1)`

= `(14 xx 13 xx 12 xx11 xx 10 xx 9 xx 8)/(7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1)`

= 13 × 11 × 4 × 3 × 2

= 3432