Her Royal Highness, Princess Precious Petunia Picky-Eater of That Comfy Chair is the proud owner of twelve toy mousies. Some are white, some are brown, and some are red. She has bitten the tails off exactly one-half of them. There is at least one mousie in each of the six, possible combinations of colour and tail(less)ness. She has more white mousies than red mousies. The number of mousies of each colour is prime. If she has two tailless, brown mousies and more tailed, white mousies than that, how many tailed, white mousies does she have?

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, February 24, 2016 at noon Pacific Time.** I will post the answer shortly after.