# The number of seven digit integer is to be formed using only 1, 2 &3 such that the sum of all the digits is 10 . so how many such seven digit number is possible ?

##### 1 Answer

Apr 8, 2017

I got

#### Explanation:

We start by listing the combinations of numbers that give us a digit sum of

We can have

#1, 1, 1, 1, 1, 3, 2#

And the number of different arrangements here is

**Is the above sequence the only possible?**

Note that you need a certain number of

#1, 1, 1, 1, 1, 1, 1, 3#

We either get sequences that are more or less than

Hopefully this helps!