# Combinatorial Counting: Painting Streetlight Poles with Color Restrictions

**n** streetlights running along the north side of main street.

The poles on which they are mounted need to be painted so that they do not rust.

QUESTION:I**n how many ways may they be painted with red, white, blue, yellow, purple and green if an even number of them are to be painted green?**

Clarification: order matters colors can repeat, but you do not have to use all four colors

Kateg

41

## Answer

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Paul F

199

The answer is accepted.

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