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What is the probability that a 6 digit number selected at random contains at most three digits repeated?

I'm new to probability, and try as I might, I cannot solve this. Any help will be appreciated.

P.S. first digit cannot be zero

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    $\begingroup$ Is it even possible that a 6 digits number contains four repeated digits? $\endgroup$
    – ajotatxe
    Dec 9, 2018 at 18:01
  • $\begingroup$ Is the first digit allowed to be zero? $\endgroup$ Dec 9, 2018 at 18:29
  • $\begingroup$ @MichaelBehrend no $\endgroup$
    – Arka Seth
    Dec 9, 2018 at 18:31
  • $\begingroup$ @ajotatxe 999999 $\endgroup$
    – Arka Seth
    Dec 9, 2018 at 18:32
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    $\begingroup$ @ajotatxe the question is framed exactly like this in my book, but the author meant to say that a single digit is repeated n number of times. $\endgroup$
    – Arka Seth
    Dec 9, 2018 at 19:08

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