# Will you use Stars and Bars here?

Discrete Mathematics Level pending

How many ordered triples $$(x,y,z)$$ are there satisfying the conditions:

• $$x,y$$ and $$z$$ are non-negative integers.
• $$x≤y≤z$$
• $$x+y+z≤100$$

Note: This is an old RMO problem.

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