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TIFRGS2021 Question
Let $n$, $m$ and $k$ be three positive integers such that $n \geq m \geq k$. Let $S$ be a subset of $\{1, 2, , n\}$ of size $k$. Consider sampling a function uniformly at random from the set of all functions mapping $\{1, , n\}$ to $\{1, , m\}$. What is the probability ... $1  \frac{k!{n\choose k}}{n^k}$ (E) $1  \frac{k!{n\choose k}}{m^k}$
asked
Mar 24
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Combinatory
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zxy123
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tifr2021
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