A touring party of 20 cricketers consists of nine batsmen, eight bowlers and three wicketkeepers. A team

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A touring party of 20 cricketers consists of nine batsmen, eight bowlers and three wicketkeepers. A team of 11 players must have at least five batsmen, four bowlers and one wicket keeper. How many different teams can be selected,

(a) if all the players are available for selection,

(b) if two batsmen and one bowler are injured and cannot play?

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