Question

n how many ways players for a cricket team can be selected from a group of 25 players containing 10 batsmen, 8 bowlers, 5 all-rounders and 2 wicket keepers? Assume that the team requires 5 batsmen, 3 all-rounder, 2 bowlers and 1 wicket keeper.

Answer 1

34 ways use ncr and npr

Answer 2

Use the "choose" function nCr :

Number of ways = (Number of ways of choosing 5 batsmen from 10) x (Number of ways of choosing 3 all-rounders from 5) x (Number of ways of choosing 2 bowlers from 8) x (Number of ways of choosing 1 wicket keeper from 2)

= 10C5 x 8C2 x 5C3 x 2C1

= 252 x 28 x 10 x 2

= 141120