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