## Problem of the Day #84: Number of bounded sequences with a certain sum
*June 11, 2011*

*Posted by Mitchell in : potd , trackback*

How many sequences $(a_1, a_2, \cdots, a_k)$, where $a_1, a_2, \cdots, a_k$ are positive integers less than or equal to $84$, satisfy $a_1 + a_2 + \cdots + a_k = 168$?

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