# Sum and Product Quiz Puzzle Answer

The context for this puzzle is a child who mistakenly adds the numbers in a sum instead of multiplying them, and fortunately gets the correct answer anyway.

In each of the sums all of the numbers are positive whole numbers greater than zero.

So your challenge is to find the sum that the child did when it has two numbers, which is easy.

Then find the sum when it has three numbers, which is also quite easy.

And then find the sum when it has four numbers, which is a bit trickier.

There are three solutions if the sum has five numbers.

But only one exists if the sum sum has six numbers.

Feel free to find as many for longer sums as you want.

The two-number solution is 2,2, and the three-number answer is 1,2,3.

The four-number solution is 1,1,2,4.

The three five-number solutions are 1,1,1,2,5 and 1,1,2,2,2 and 1,1,1,3,3.

And the only six-number solution is 1,1,1,1,2,6.

There is always an n-number solution with n-2 ones, a two and n.

How many did you get?