Maths Permutations & Combination Fundamental Principle of Counting, Problem Based on Selection of Given Object & Arrangement of Given Object. Numeric Response
Published on: August 13, 2026

Find the number of all five digit numbers which have atleast one digit repeated.

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Verified by Experts
The correct answer is:
62784

(62784)

Sol. The number of all 5-digited number is = 9 × 10 × 10 × 10 × 10 = 90000 and the number of those five digited numbers which have no digit repeated = 9 × 9 P 4 = 9 × 9 × 8 × 7 × 6 = 27216

∴ Required number = 90000 – 27216 = 62784

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