Puzzle #179: Puppies

Puppies are also so darling and so prone to disappearing. You have been busy trying to count them.

You know that three of them have black fur, three have brown fur, and three have white fur. Each puppy is of at least one of the three colours and maybe more.

Two puppies are black and white, and maybe each one has brown, too.

There is one puppy each of just one of the three colours, except for one of the colours where there are two of the darlings.

How many puppies are there of each colour combination, and how many are there in total?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, November 9, 2016 at noon Pacific Time. I will post the answer shortly after.