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The Global Insight

How many 3 digit numbers can be formed such that at least one of the digit is 8?

Author

Mia Phillips

Updated on March 06, 2026

Thus, 252 three digit numbers contain at least one 8.

How many 3 digit numbers can be formed using 3 digits?

Question 8 The different 3-digit numbers which can be formed by using the digits 0, 2, 5 without repeating any digit in the number are 205, 250, 502 and 520. Therefore, four 3 digit numbers can be formed by using the digits 0, 2, 5.

How many 3 digit numbers have the digit 3 and 7?

Three digit numbers using 3 and 7. ‘and’ indicates that at least one 3 and at least one 7 must occur in the number, right? So there would be six numbers. So together six three-digit numbers can be formed using 3 and 7.

How many 3 digit permutations of the odd digits are there if no digit repeats?

So, the number of digits ending with 1 without repetition will be 8x 8 = 64. Similar is the case for digits ending with 3,5,7 & 9. Hence, total number of such odd digits will be 5 x 64 = 320.

How many 3 digit numbers are there with no digits repeated?

You have 8 choices for the third digit (digits 0 – 9 excluding the numbers you chose for the first and second digit). So by the multiplication principle (MP), there are 9*9*8 ways to do this. So there are 648 numbers that are 3 digit numbers and have no repeated digits.

How many numbers are in a 3 digit number?

First the 3-digit numbers: There are 9 possible digits for the first place (you can’t use 0), 10 for the second place (you can use anything from 0 to 9) and 10 for the third. That makes 9 x 10 x 10 = 900.

How many numbers are there with no 3s?

For the 3-digit numbers with no threes: Their first (hundreds) digit can be chosen in just 8 ways (no 0 and no 3), their second digit in just 9 (no 3 remember), and their third digit in 9 ways. So there are 8 x 9 x 9 of these. That’s 648 altogether.

How many positive 3 digit integers are there?

Here the number of three number is (999-100)+1=900. Now, if no digit is 3, then the highest digits can be one of 0 to 9 excluding 0,3 as 0 will reduce the number to 2-digit. So, the highest can accept 8 possible values.

How to calculate the number of 5 digit numbers?

First way: The number of 5-digit numbers is 99999 minus all the numbers with fewer than 5 digits, which is 9999, So the number of 5-digit numbers is 99999-9999 = 90000 Second way: Choose the 1st digit 9 ways (can’t choose 0). Choose the 2nd digit 10 ways (can choose 0). Choose the 3rd digit 10 ways. Choose the 4th digit 10 ways.