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May 29, 2018 at 14:33 comment added Henry $\frac{1}{m!}$ would be exactly correct if you wanted to know what proportion of 1-1 injective functions were strictly increasing. For $n \gg m^2$ the vast majority of all functions are 1-1 injective
May 29, 2018 at 13:59 vote accept ImtiazX
May 29, 2018 at 9:01 history answered air CC BY-SA 4.0