Buttons and Levers

Pro Problems > Math > Statisics and Probabilities > Counting Principles

Buttons and Levers

There are three buttons on a wall, each of which can be pressed or unpressed. There are four levers on the wall, and each of them can be either flipped up or down, or in a central position. How many possible arrangements of levers and buttons are there?

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Problem by Mr. Twitchell

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