# How many ways can you form a 3 digit odd number without repetition?

Table of Contents

- 1 How many ways can you form a 3 digit odd number without repetition?
- 2 How many 3 digits numbers exist if no digits can repeat?
- 3 How many 3 digit numbers do not have an even digit or a zero?
- 4 How many three digit odd natural numbers are there whose product of digits is 252?
- 5 How many three digit numbers are there divisible by 3?
- 6 How many 3 digit numbers can be formed from the digits 12345 with repetition?
- 7 How many 3 digit even numbers exist with no repetitions?
- 8 What is the unit place of 3 digit odd numbers?

## How many ways can you form a 3 digit odd number without repetition?

I know the answer is 5⋅8⋅8=320.

## How many 3 digits numbers exist if no digits can repeat?

Required number of numbers =(9×9×8)=648.

**How many 3 digit odd No are there?**

The three digit numbers are 100 to 999 inclusive so there are 999-100+1 = 999-99 = 900 So, 900 three digit numbers If half of all numbers is odd then half of 900 is 450, there are 450 odd positve 3 digit numbers.

### How many 3 digit numbers do not have an even digit or a zero?

So the number of 3 digit numbers that do not have an even digit or zero is 5*5*5 = 125, from 111 to 999. For each of the positive values, there is a corresponding negative number (-111 to -999), so the total is 2*125 = 250.

### How many three digit odd natural numbers are there whose product of digits is 252?

How many three digit odd numbers are there?

**How many 3 digit numbers contain no 7’s?**

There are 450 even numbers with three digits. If there is no seven the hundreds digit is one of eight (no zero or seven), and the tens digit is one of nine (no seven). So 8×9×5 with no seven – that is 360 leaving 90 with a seven. Which is 360 even numbers without a 7.

## How many three digit numbers are there divisible by 3?

300

The first three-digit number which is divisible by 3 is 102 . The last three-digit number which is divisible by 3 is 999 . The number of three-digit numbers divisible by 3 are 3999 − 3102 + 1 = 333 − 34 + 1 = 300 .

## How many 3 digit numbers can be formed from the digits 12345 with repetition?

As repetition is allowed, So the number of digits available for Y and Z will also be 5 (each). Thus, The total number of 3-digit numbers that can be formed = 5×5×5 = 125.

**How many ways can you make 3 digit odd numbers?**

Odd numbers are those natural numbers which end in 1,3,5,7 or 9. Since we have to make 3-digit odd numbers we have hundreds place, tens place and unit place, in which units place will have one of 1,3,5,7,or 9. So, we can fill up the units place in 5 ways.

### How many 3 digit even numbers exist with no repetitions?

If z is 0, then x has 9 choices. If z is 2, 4, 6 or 8 (4 choices) then xhas 8 choices. (Note that xcannot be zero) Therefore, z and xcan be chosen in (1 × 9) + (4 × 8) = 41ways. For each of these ways, ycan be chosen in 8 ways. Hence, the desired number is 41 × 8 = 328numbers 3-digit even numbers exist with no repetitions.

### What is the unit place of 3 digit odd numbers?

3-digit odd numbers should have 1,3,5,7 and 9 in unit place. Digits ending with 1 : Hundred place can be filled in 8 ways (because 0 & 1 are inadmissible). For each of these 8 situations in the hundred place, the ten place can be filled in 8 ways (since though 0 is admissible but not 1 & the digit already occupying the hundred place).

**What is the total number of odd numbers ending with 1?**

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.