How many ways are there to put 14 identical objects in 3 distinct boxes with at least 8 objects in one box?
What is the thinking procedure of the similar question type?
2026-03-29 12:40:20.1774788020
How many ways are there?
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You have to find a unique way to describe a possible placement of the objects, that makes counting easy. Here is a solution.
This uniquely describes the three boxes.
How many choices now?
$$3\sum_{k=8}^{14} (15-k)$$