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1% of 2% of 3% ⋯ 97% of 98% of 99% of 100 is equal to x!xx−11\% \ \text{of} \ 2\% \ \text{of} \ 3\% \ \cdots \ 97\% \ \text{of} \ 98\% \ \text{of} \ 99\% \ \text{of} \ 100 \text{ is equal to } \dfrac{x!}{x^{x-1}}1% of 2% of 3% ⋯ 97% of 98% of 99% of 100 is equal to xx−1x!
What is the value of xxx?
Notation: !!! denotes the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 8!=1×2×3×⋯×8.
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