Pre-muted

Number Theory Level 2

You are given that n!(n−x)!=n \dfrac{n!}{(n-x)!} = n

Find xx.

Bonus: Can you also find one exception for the above formula?

Notation: !! denotes the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 .

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