Think Logically not mathematically [part-33]

Algebra Level 3

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

Notation: !! denotes the factorial function. For example: 8!=1×2×3×...×88! = 1 \times 2 \times 3 \times ... \times 8.

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