Let $A$ and $B$ be two finite sets having $m$ and $n$ elements respectively such that $m \le n.$ $A$ mapping is selected at random from the set of all mappings from $A$ to $B$. The probability that the mapping selected is an injection is

  • A
    $\frac{n!}{(n - m)! m^n}$
  • B
    $\frac{n!}{(n - m)! n^m}$
  • C
    $\frac{m!}{(n - m)! n^m}$
  • D
    $\frac{m!}{(n - m)! m^n}$

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