in how many ways can one write 12 into the sum of three positive integers?

Question

in how many ways can one write 12 into the sum of three positive integers?

Answer 1

Hi Vivian,

 

I am assuming we are looking for three different positive intergers and that is how I will form the answer

 

I will get you started and then I think you can finish this

 

so lets look at some of the ways you can do this

 

1 + 2 + 9

1 + 3 + 8

1 + 4 + 7

1 + 5 + 6

 

Ok now I will start with 2

 

2 + 3 + 7

 

 

I think if you follow this pattern you can find the rest.  There aren't that many more

 

Hope this helps