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Question

How many numbers are there between 500 and 600 in which 9 occurs only once?

EXPLANATION

Required numbers are 509, 519, 529, 539, 549, 559, 569, 579, 589, 590, 591, 592, …, 598. So, there are 18 numbers in all.

Note: In any set of 100 natural numbers digit from 1 to 9 will appear 20 times and will appear in 19 numbers at unitʼs and tenʼs place.

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