How many 6 digits number can be generated using digits 0-9 with repetition of any digit?

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How many 6 digits number can be generated using digits 0-9 with repetition of any digit?

Few Examples: 111111 122222 123333 123456 324222

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2 Answers

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Hint:

how many are the numbers between $100000$ and $999999$ ?

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By the Rule of Product, they are $9\cdot 10^5$ if you want that the first digit is different from zero. They are $10^6$ if you allow that the first digit can be zero.

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