# Problematic Combinations

The number of ways in which the number 2160 can be written as $$abc$$ where $$a$$, $$b$$ and $$c$$ are positive integers is X and the number of ways in which 2160 can be written as $$d + e + f$$ where $$d$$, $$e$$ and $$f$$ are positive integers is Y. Find X + Y.

×