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How many 3-digit numbers are there when ...

How many 3-digit numbers are there when a digit may be repeated any number of times?

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The correct Answer is:
900
We may fill hundred's digit by any digit from 1 to 9 , i.e., in 9 ways. Each of the ten's and unit's digits may be filled in 10 ways.
Required number of numbers `=(9xx10xx10)=900.`
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