A Little Bit of Set Theory

So, if I have a pair of glasses, I have one frame, two lenses, two earplacers, four screws, and two nose rests, and two arms.

All together, that would be like this:

1(x)=1+2+2+4+2+2

If I'm talking about the the number of individual sets of components it's:

1(x)=1+1/2(2)+1/2(2)+1/4(4)+1/2(2)+1/2(2)

If I want to take the screws as two sets it's:

1(x)=1+1/2(2)+1/2(2)+1/2(4)+1/2(2)+1/2(2)

So forth. That's how set theory ought to work.

If multiplying it by two pairs of glasses, you just do this

2(x)=(1+2+2+4+2+2)2

If you want to combine sets it's just:

1(x)=1+1/2(2)+[(2+4)/(2+4)]+1/2(2)+1/2(2)