n+1=4

Bikes:

1. Flashy rice rocket
   
2. Lightweight for track and long country rides
   
3. Slightly nice with lower gearing
   
4. Steel frame runabout/pub with full mudguards and rack
   
5. SS MTB
   
6. Polo piece of shit
   
   

But some of those bikes are dual-use so would also like:

1. Dedicated hack bike
   
2. Track iron
   
   

Still need:

1. Geared road
   
2. Folding
   
   
   

Ray, you are wrong.