Creating A Compound Path

First I made 3 circles each with different colours, then I put 1 smaller circle in each of them. I pushed the command key+ 8 to create a compound path. The result was white circle gaps.

I clicked pathfinder then divided them which grouped the circles so I could apply technical  details to it like colour change on a certain area of the shape, which in my case was to intercept it to make it look something like the Olympic logo.