CAT 2024 Permutations and Combinations Question (Hard)

Question

The number of all positive integers up to 500 with non-repeating digits is

Accepted Answer

We need to count integers from 1 to 500. We ll break this down by the number of digits. Step 1 Single-Digit Numbers 1 to 9 All single-digit numbers inherently have non-repeating digits. There are 9 such numbers 1, 2, 3, 4, 5, 6, 7, 8, 9. Step 2 Two-Digit Numbers 10 to 99 For a two-digit number, the

CAT 2024

Quantitative

Permutations and Combinations

Hard

The number of all positive integers up to 500 with non-repeating digits is

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