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Question

Quantitative Aptitude Question on Number Systems

How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?
[This Question was asked as TITA]

A

252

B

254

C

262

D

264

Answer

252

Explanation

Solution

The given set is a set of all three-digit numbers and the number of numbers in the set =900=900.
The number of three-digit numbers having no digits repeating = 9×9×8=6489×9×8 = 648
Required answer =900648=252900-648=252

So, the correct option is (A): 252252