You are given 165 rectangular tokens, they are all indistinguishable sizewise, but only 2 of them are red. The tokens are 2x1 and you are asked to tile a 3x110 grid keeping the red tokens parallel each to the other.
In how many ways can such task be done?

a. No other restrictions.
b. The red tokens cannot be parallel to any of the non-red tokens.

Gosh, this is hard! The answer, please. | <style type="text/css"></style>click   

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Posted by Jonathon Coleman on 2019-02-07 11:52:59