Is the logic in my model correct? Best-case?

Model: http://dpaste.org/dqwmc/

There can be many products.
There can be many distributors.
A product could have none or more distributors.
A distributor could only distribute a single product once.
A distributor could distribute all products. 

I imagine a form (admin side):

Product Name:
Product Description:
Product Image:

Distributor 1: Radio Field/Boolean
Distributor 2: Radio Field/Boolean
Etc. etc.

For some reason I can't wrap my head around this. 

Thanks!

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