You have some marbles each of one colour of red, orange, yellow, green, blue, and violet.

There is at least one but not more than six of each colour. No two colours have the same number of marbles. There are more yellow than red, fewer blue than violet, more orange than red, fewer blue than yellow, and more green than yellow.

If there are four orange marbles and two violet marbles, how many marbles are there of each colour?

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, September 28, 2016 at noon Pacific Time.** I will post the answer shortly after.