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  • Between 9999 and 100000, how many numbers are there having at least one digit that is 8?Option: 1 24613 <div c

Between 9999 and 100000, how many numbers are there having at least one digit that is 8?

Option: 1

24613 


Option: 2

37513


Option: 3

48314

 


Option: 4

54513


Answers (1)

best_answer

The numbers between 9999 and 100000 are all 5-digit numbers.

To find the total number of 5-digit numbers having at least one of their digits as 8.

The total number of 5-digit numbers is 100000-9999=90001

The total number of 5-digit numbers in which 8 does not appear at all is,

8\times 9\times 9\times9\times 9 =52488

Thus,

The total number of 5-digit numbers having at least one of their digits as 8 = (Total numbers of 5-digit numbers) – (Total number of 5-digit numbers in which 8 does not appear at all)

90001-52488=37513

Therefore, the total number of 5-digit numbers having at least one of their digits as 8 is 37513.

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Rishi

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