Feeding the mokeys

Marvin bought 5 5 bananas of different sizes. He wants to feed his two monkeys. In how many ways can he feed them? (The monkeys are very hungry so they will eat all the bananas.)


The answer is 32.

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1 solution

Theorem :Suppose there are n n distinct objects that are to be distributed among r r distinct bins. This can be done in r n r^n precisely ways.

In this question, we can model the bananas as objects and the monkeys as bins. Since they are all distinct, the above formula holds true. Therefore, the total number of ways in which the monkeys can be fed is 2 5 = 32 2^5 = 32 .

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