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(Solved): 9. Something's Fishy [12 points] Suppose Ian has 5 fish to be put into 3 tanks. How many ways of d ...



9. Somethings Fishy [12 points]
Suppose Ian has 5 fish to be put into 3 tanks. How many ways of distributing the fish are th

9. Something's Fishy [12 points] Suppose Ian has 5 fish to be put into 3 tanks. How many ways of distributing the fish are there if each tank must have at least one fish and (a) the fish are distinguishable and tanks are indistinguishable? (b) both are distinguishable? (c) both are indistinguishable?


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SOLUTION: given that, a.)From the given information, we first choose 3 fishes from 5 fishes in c(5, 3) = 10 ways and put in 3
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