Online Course Discussion Forum
A Random Logic Question on Probability
well if they are all identical then there is only 1 way, is there not?
Well say I want to add three positive intergers to a total of 7. That means that I get (1,2,4), (1,1,5), (1,3,3), (2,2,3), as my only choices, totaling 4. This is not stars and bars, as stars and bars would do order. This is just having an identical set of 7 ones and figuring out how to split it into ununique groups.
However, this does not generalize to n boxes. If you have 3 boxes, you cannot do this because some cases cannot be permutated 3!=6 ways.