# How many four digit numbers are there in which the sum of the digits is 4?

Table of Contents

- 1 How many four digit numbers are there in which the sum of the digits is 4?
- 2 How many 4 digit numbers are there such that sum of the digits is 10?
- 3 How many 4 digit even numbers exist with all digits distinct?
- 4 How many 4-digit numbers have a sum of 10?
- 5 What is the sum of the numbers at thousand’s place?

## How many four digit numbers are there in which the sum of the digits is 4?

There are a total of 444 numbers .

**How many four digit numbers are such that the sum of the digits is 9?**

So there are 165 four-digit numbers with a digit-sum of 9.

### How many 4 digit numbers are there such that sum of the digits is 10?

There are 219 4-digit numbers whose sum of digits is 10.

**What is the smallest number of 4 digits?**

1000

The smallest 4 digit number in the number system is 1000 because if 1 is subtracted from the number it becomes 3 digit number which is 999 (a three-digit number ). So 1000 is the smallest 4 digit number in the number system. Hence, it is proved that 1000 is the smallest four-digit number.

## How many 4 digit even numbers exist with all digits distinct?

We start by dividing the counting whether the last digit is 0 or not. If the number ends with a 0 then there are 9 choices for the first digit, 8 for the second and 7 for the third, which makes 1×9×8×7=504 possibilities. Together, this gives 2296 numbers with 4 distinct digits that are even.

**How many four digits numbers are there with no digit repeated?**

Hence total number of permutations = 9×504=4536.

### How many 4-digit numbers have a sum of 10?

We’ve put together a list of 8 money apps to get you on the path towards a bright financial future. There are 219 4-digit numbers whose sum of digits is 10.

**How many values can be found in a 4 digit number?**

It is a standard problem based on a technique called Star and Bar method.consider 4 digits as 4 boxes which can hold values 0,1,2…,9.but since u are concerned strictly of 4 digit numbers u can have only 1 to 9 in the first box or the first digit.

## What is the sum of the numbers at thousand’s place?

In the 18 numbers formed, the digit “0” comes six times and each one of the digits (1, 2, 3) comes four times at the second place. Sum of the numbers at the second place (100’s place) : 36 is the sum of numbers at thousand’s place. So 36 is multiplied 1000.

**What are the four blanks of a four digit number?**

Since we are going to form four digit numbers, let us have four blanks. The first blank (thousand’s place) has three options from the given four digits. They are 1, 2, 3. Because “0” can not be filled in the first blank.