Question

How many integers between 0 and 10,000 have only one digit equal to 5?

Answer 1

There are 4 places to put the 5. There are 9 choices (0-4 and 6-9) for remaining 3 digits, so they can be chosen in 9^3 = 729 ways. 

The total is 4 * 729 = 2916.

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Answer 2

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