There are k kinds of postcards, each with a limited amount. Let ther.pdf

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This document discusses counting the number of ways to send k types of postcards with limited quantities of each type to n friends, where each friend can receive any number of cards including zero or multiple of the same card. The solution is that the number of ways is equal to the binomial coefficient of distributing ak + n - 1 objects into n - 1 slots.

There are k kinds of postcards, each with a limited amount. Let there be ai copies of the i-th
postcard. How many ways are there to send these postcards to n friends? (Each friend can
receive zero cards, as well as multiple copies of the same card.)
Solution
no.of ways=(ak+ n-1)C(n-1) )

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