Posted by **David** on Saturday, March 6, 2010 at 6:52pm.

This problem is a base conversion problem masquerading as a "word problem". You are responsible for controlling the stage lights at a small theater. The control box has control switches for 10 separate lights, and each switch can make its corresponding light off, red, green, yellow, or blue. How many different patterns of lighting can you set up?

I tried putting 4^10, but it's incorrect, what would be the correct power?

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**MathMate**, Saturday, March 6, 2010 at 11:10pm
How about 5^10?

The light being off is also part of a pattern.

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**David**, Sunday, March 7, 2010 at 12:21am
OMG totally didnt see that, thank you!

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**MathMate**, Sunday, March 7, 2010 at 8:33am
You're welcome!

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