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

CAT · 2023 · Quant Slot 1
Question:
The number of all natural numbers up to 1000 with non-repeating digits is

Options

585
504
648
738
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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