f(n) is defined as 1(adsbygoogle = window.adsbygoogle || []).push({}); ^{1}x2^{2}x3^{3}....xn^{n}

Then it seems as if f(n)/(f(r).f(n-r)) is always an integer for 0 < r < n.

I tried a few cases. Its true for them. Is it always true? I cannot seem to figure out any ways to prove it.

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# Why will this function always be an integer?

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