Total how many 5 digit number are there Total how many five digital numbers are here

- Sarv mangal yadavUpdated On April 10, 2025 02:59 PM

Dear student,

Would love to understand how and why would want an answer to this question!! The total number of 5 digit numbers is 90000. 

 Here's the break-up of how we arrived at this result: 

To find the total number of 5-digit numbers, we need to determine the range of these numbers.

The smallest 5-digit number is 10000. The largest 5-digit number is 99999.

To find the total count of numbers within this range (inclusive), we can use the formula: Total numbers = (Largest number - Smallest number) + 1

Total 5-digit numbers = (99999 - 10000) + 1 Total 5-digit numbers = 89999 + 1 Total 5-digit numbers = 90000

Alternatively, we can think of it in terms of the number of choices for each digit:

A 5-digit number can be represented as _ _ _ _ _.

~For the first digit (the ten thousands place), it cannot be 0, so there are 9 possible choices (1 to 9).

~For the second digit (the thousands place), there are 10 possible choices (0 to 9).

~For the third digit (the hundreds place), there are 10 possible choices (0 to 9).

~For the fourth digit (the tens place), there are 10 possible choices (0 to 9).

~For the fifth digit (the units place), there are 10 possible choices (0 to 9).

The total number of 5-digit numbers is the product of the number of choices for each digit: Total 5-digit numbers = 9 × 10 × 10 × 10 × 10 = 9 × 10^4 = 9 × 10000 = 90000

The final answer is 90000

- Jayita EkkaAnswered on April 10, 2025 02:59 PM
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