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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