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

## 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.

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## 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.