$A$ mapping is selected at random from the set of all the mappings of the set $A = \{1, 2, ..., n\}$ into itself. The probability that the mapping selected is an injection is
- A$\frac{1}{n^n}$
- B$\frac{1}{n!}$
- C$\frac{(n-1)!}{n^{n-1}}$
- D$\frac{n!}{n^{n-1}}$
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