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  • Between 99 and 1000, how many numbers are there having at least one digit that is 9?Option: 1 254<str

Between 99 and 1000, how many numbers are there having at least one digit that is 9?

Option: 1

254


Option: 2

363


Option: 3

434


Option: 4

253


Answers (1)

best_answer

Numbers between 99 and 1000 are all four-digit numbers.

To find the total number of 3-digit numbers having at least one of their digits as 9.

The total number of 3-digit numbers is 1000-99=901.

The total number of 3-digit numbers in which 9 does not appear at all is,

8 \times 9 \times 9=648

Thus,

The total number of 3-digit numbers having at least one of their digits as 9 = (Total numbers of 3-digit numbers) – (Total number of 3-digit numbers in which 9 does not appear at all)

901-648=253

Therefore, the total number of 3-digit numbers having at least one of their digits as 9 is 253.

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