Suppose that 10 fish are caught at a lake that contains 5 distinct types of fish.
(a) How many different outcomes are possible, where an outcome specifies the numbers of caught fish of each of the 5 types?
(b) How many outcomes are possible when 3 of the 10 fish caught are trout?
(c) How many when at least 2 of the 10 are trout?
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