# How many three digit numbers are there such that the digits are repeated at least once ie all the digits do not occur only once?

## How many three digit numbers are there such that the digits are repeated at least once ie all the digits do not occur only once?

Ans :- 648 numbers . Originally Answered: How many three-digit numbers can be formed without repeating digits? It depends whether you allow leading zeroes. If you don’t, there are 9 choices for the first digit (1–9), 9 choices for the second digit (0–9 less the one you already used), and 8 for the third digit.

How many 3 digit numbers are there such that the hundreds digit is strictly smaller than the tens digit which is strictly smaller than the units digit?

Three-digit numbers are 999-100+1 = 900. For any arrangement of three numbers, there is only one in which the numbers are arranged so that the units are less than the tens, which are less than the hundreds: 10x9x8 = 720 are the total different combinations of three different integers.

How many 3 digits number exist such that middle digit is smallest of three digits?

Question 12 Solution : The condition for 3 digit number of three different digits is that 6 is at the ones place. The greatest 3 digit number will be 986 and the smallest 3 digit number will be 106.

### How many 3 digit numbers are there each digit is different?

Thus, 3rd place = 3 options. Now, to find all the arrangements, we multiply the number of options in all places. Thus there are 60, 3 digit numbers, with distinct digits, with each of the digits odd.

How many 3 digit ascending numbers are there?

Hence, there can be 9 digits in the hundreds place. In the tens place and the one’s place, there can be any digit from 0-9. There is a possibility of 10 digits in the hundredth place and 10 digits in the unit’s place. Thus, there are 9 × 10 × 10 = 900 three-digit numbers in all.

How many 3 digit numbers with distinct digits can be formed if all the digits are in descending order?

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We can make 120 three digit distinct numbers.

## What is the smallest 3 digit number answer?

100
100 is the smallest 3-digit number and 999 is the greatest 3-digit number.