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      Question

      How many integers between 100 and 999 have all digits

      distinct?
      A 582 Correct Answer Incorrect Answer
      B 770 Correct Answer Incorrect Answer
      C 648 Correct Answer Incorrect Answer
      D 620 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Hundreds digit: 1–9 β†’ 9 choices Tens digit: any except chosen hundreds β†’ 9 choices Units digit: any except previous two β†’ 8 choices Total = 9 Γ— 9 Γ— 8 = 648

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