A squad of 5 is picked from 4 batters, 3 bowlers and 2 wicket-keepers. It must have exactly one wicket-keeper and at least 2 bowlers. How many squads are possible?

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Accepted Answer

44. Keeper: 2 ways. The other 4 from 4 batters and 3 bowlers with at least 2 bowlers: 2 bowlers + 2 batters =3×6=18; 3 bowlers + 1 batter =1×4=4. So 2×(18+4)=44. (22 forgets the keeper choice.)

A squad of 5 is picked from 4 batters, 3 bowlers and 2 wicket-keepers. It must have exactly one wicket-keeper and at least 2 bowlers. How many squads are possible?

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