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How many 4 Digit Numbers are there in all

How many 4 digit numbers are there in all? Find the answer to this question and access a vast question bank that is customized for students.

There are 9000 four digit numbers in all.

There are specifically two ways to find out if the 4 digit numbers are there in all.

First of all, clear the concept of the 4 digit number in easy terms, a number that is made up of the 4-digits. It is known as a 4 digit number. For instance, the first digit of the 4-digit number must be either 1 or higher than one and the other three digits may be any digit that can start from 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Moreover, you know very well all the Four-digit numbers begin after 999. It starts at 1000 and all four-digit numbers lastly end at 9999. You can now know the two ways to find out the number of 4 digit numbers below.

  • The first method to identify the 4 digit number is that there are a total of 10 digits between 0 to 9. It is 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If you want to form a 4-digit number then you know zero does not come into the first position. So, leave it and choose a perfectly positioned number for the first place. There are 9 possibilities for the first position and for the other last three positions you have 10 possibilities. So, you will multiply all the numbers 9x10x10x10=9000. Lastly, the answer will be 9000.

  • The second method to calculate the four-digit number is you have to simply find the smallest four-digit number, it is 1000 and the highest four-digit number is 9999. You know you have 10 digits, so you will add the one into 1000. Lastly, the answer is 9000, which is calculated with 9999-1000+1 = 9000.