All-distinct PIN

A 4-digit PIN is chosen with each digit uniform and independent in {0,,9}\{0,\dots,9\}. What is the probability all four digits are distinct?

Show hints (2)+
  1. Each new digit must avoid the previous ones.
  2. Multiply 10·9·8·7 over 10⁴.

Answer

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0.504

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Asked at: SIG, DRW

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