Please guide me whether the two sides are equal: $$\Big(\frac{(2-a)b}{c}\Big)!*\Big(\frac{1}{c}\Big)!=\Big(\frac{(2-a)b+1}{c}\Big)!$$ where a, b and c are constants >0, Kindly prove this equation.
2026-03-26 06:02:32.1774504952
Multiplication of two factorials
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This is just an identity which I found in my research. Actually I am working on probability distribution and these are the parameters of it. I need to show this equation. One can show it by converting factorial to gamma function.