How can we calculate the probability that the randomly chosen function will be strictly increasing? – stats.stackexchange.com

How can we calculate the probability that the randomly chosen function will be strictly increasing? – stats.stackexchange.com

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Consider the set of all functions from $\{1,2,...,m\}$ to $\{1,2,...,n\}$, where $n > m$. If a function is chosen from this set at random, what is the probability that it will be strictly ...

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