>>11128971Ok so your post triggered my gotcha-alarms. I'll try to cover all my bases.
The most simple interpretation is that we are giving one subset of objects to person A, and the rest to person B.
In this case it would be 2^4 ways.
Making it a bit more complicated we may consider splitting the 4 objects into a variable number of piles. And consider the piles to be indistinguishable, so that (1 2)(3 4) is the same division as (3 4)(1 12)
With this interpretation, there is 1 way to make one pile. 4+3 ways to make two piles, 3 ways to make three piles, and 1 way to make four piles for a total of 1+7+3+1=12.
We have so far considered the objects to be indivisible. But you may meant hat any object can itself be divided. In that case I guess infinite / it depends.
