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Using the buttons labeled 1–5, how many different ways are there to press 5 buttons if repetition is allowed?

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Final answer:

The number of different ways to press 5 buttons with repetition allowed is 3125.

Step-by-step explanation:

To find the number of different ways to press 5 buttons, we need to consider that repetition is allowed. This means that for each button, we have 5 choices (since there are 5 buttons). Therefore, the total number of possibilities is equal to 5 to the power of 5 (5^5), which is 3125.

User Eric Bloch
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