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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?

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.)

 
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