Problem 42918. Addition Partition

You will be given two numbers, N and K. Write a MATLAB function that will determine how many different unique ways you can have K numbers add up to N. The numbers you use can be anything from 0-N, but no negatives and no fractions. For example, five can be the sum of three numbers in five different ways:

• 5+0+0
• 4+1+0
• 3+2+0
• 3+1+1
• 2+2+1

Order does not matter, so (5,0,0) is the same as (0,0,5) and (0,5,0). Therefore, the output of your function num_sum(5,3) should be 5. I don't need the different permutations, only how many there are. Good luck!