The number of all natural numbers up to 1000 with non-repeating digits is

Options

  1. 585
  2. 504
  3. 648
  4. 738

Correct Answer

738

Explanation

1-digit: 9 numbers. 2-digit: 9×9=81. 3-digit: 9×9×8=648. Total=9+81+648=738.


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