A touring ‘Blue Caps’ party of 20 cricketers consists of 9 batsmen, 8 bowlers and 3 wicket keepers. A
team of 11 players must be chosen from the players such that there are at least 5 batsmen, 4
bowlers, and 1 wicket keeper. How many different teams can be selected?
(a) if all the players are fit for selection,
(b) if 2 batsmen and 1 bowler are injured and cannot play?
The Attempt at a Solution
This problem is simple but for some reason I'm stuck....so I guess not easy after all (for me)
We've only practiced with questions that ask a certain a certain combination from a set amount n. The contraints on the last part of that question confuse me, how do we ensure that each amount of those are selected?
Am I just over-reading the question? Is it just as simple as 20C11 on the calculator?