Snakes are not so darling to most of us, but may well be prone to disappearing. They went off to find some place warm. You have been busy trying to find them.

There are ten of them. Some have red bands, some yellow, and some blue. They each have at least one colour of bands and maybe more. There are no more than three snakes of any colour combination. There is at least one snake of each one-colour combination, and all one-colour combinations have a different number of snakes.

There are seven snakes which have either red or yellow banding (or both), but not all three colours.

There are six snakes which have either red or blue banding (or both), but not all three colours.

There are five snakes which have either yellow or blue banding (or both), but not all three colours.

The highly-poisonous red-yellow-and-blue-banded variety is commonly misunderstood and just wants to be left alone. In this case, alone with your aquarium where it is warm, and there are fish to chow down.

How many of the red-yellow-and-blue-banded snakes are there?

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, I will post the answer shortly after.**

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