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If you have 4 positions, each of which can hold any of the ten digits, you have 10 to the power 4 combinations. If you can have only 4 different digits, you have 4 to the power 4 different combinations.

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Q: I have an alarm system keypad numbered 1-4. How many potential 4 digit combinations are there if the numbers can be repeated?
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How many number combinations are possible with three numbers?

If the numbers can be repeated and the numbers are 0-9 then there are 1000 different combinations.


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