# Think Logically not mathematically [part-33]

Algebra Level 3

How many ordered pairs $$(x,y)$$ of distinct non-negative integers exists such that $$\dfrac{x!}{y!}=1$$?

Notation: $$!$$ denotes the factorial function. For example: $$8! = 1 \times 2 \times 3 \times ... \times 8$$.

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