Answer:
Step-by-step explanation:
Given is an equation in three variables
where the three variables are non negative integers.
Since sum =10, and each integer has minimum value 1, we find that each variable can take values as 1,2,...8 only
If first variable is 1, the other two can be 1,8 or 2,7 or... 8,1 ... 8 ways
If first variable is 2, ... the other two can be 1,7 or 2,6 or..7,1 ... 7 ways
This will go up to first variable =8
Thus we have total number of solutions as
Thus possible solutions are 36