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Next date with distinct digits


Can you find my friends' birthdayThe directions from another language?So how did the date go?Logic-grid puzzle. How do I have to interpret the clue?The Recruitment Office PuzzleFind the equality with all digitsMastermind with an errorPawns and DiscsWhat is the canonical age?Unlock an answering machine using minimum number of digits













10












$begingroup$


The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).



When is the next date that when written in this way has all eight digits different?










share|improve this question











$endgroup$
















    10












    $begingroup$


    The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).



    When is the next date that when written in this way has all eight digits different?










    share|improve this question











    $endgroup$














      10












      10








      10





      $begingroup$


      The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).



      When is the next date that when written in this way has all eight digits different?










      share|improve this question











      $endgroup$




      The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).



      When is the next date that when written in this way has all eight digits different?







      logical-deduction






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Jun 7 at 15:29







      rnaylor

















      asked Jun 7 at 13:30









      rnaylorrnaylor

      1,2711922




      1,2711922




















          1 Answer
          1






          active

          oldest

          votes


















          15












          $begingroup$

          Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is




          17/06/2345 in DD/MM/YYYY format.




          Reasoning




          Notice that the first M will either be $0$ or $1$.
          If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
          If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.

          Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
          Hence the DD/MM part requires both $0$ and $1$.
          After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
          It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.







          share|improve this answer











          $endgroup$








          • 8




            $begingroup$
            I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
            $endgroup$
            – Gareth McCaughan
            Jun 7 at 15:04











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          1 Answer
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          1 Answer
          1






          active

          oldest

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          active

          oldest

          votes






          active

          oldest

          votes









          15












          $begingroup$

          Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is




          17/06/2345 in DD/MM/YYYY format.




          Reasoning




          Notice that the first M will either be $0$ or $1$.
          If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
          If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.

          Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
          Hence the DD/MM part requires both $0$ and $1$.
          After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
          It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.







          share|improve this answer











          $endgroup$








          • 8




            $begingroup$
            I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
            $endgroup$
            – Gareth McCaughan
            Jun 7 at 15:04















          15












          $begingroup$

          Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is




          17/06/2345 in DD/MM/YYYY format.




          Reasoning




          Notice that the first M will either be $0$ or $1$.
          If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
          If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.

          Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
          Hence the DD/MM part requires both $0$ and $1$.
          After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
          It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.







          share|improve this answer











          $endgroup$








          • 8




            $begingroup$
            I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
            $endgroup$
            – Gareth McCaughan
            Jun 7 at 15:04













          15












          15








          15





          $begingroup$

          Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is




          17/06/2345 in DD/MM/YYYY format.




          Reasoning




          Notice that the first M will either be $0$ or $1$.
          If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
          If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.

          Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
          Hence the DD/MM part requires both $0$ and $1$.
          After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
          It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.







          share|improve this answer











          $endgroup$



          Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is




          17/06/2345 in DD/MM/YYYY format.




          Reasoning




          Notice that the first M will either be $0$ or $1$.
          If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
          If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.

          Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
          Hence the DD/MM part requires both $0$ and $1$.
          After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
          It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited Jun 7 at 13:52

























          answered Jun 7 at 13:36









          hexominohexomino

          53k4156248




          53k4156248







          • 8




            $begingroup$
            I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
            $endgroup$
            – Gareth McCaughan
            Jun 7 at 15:04












          • 8




            $begingroup$
            I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
            $endgroup$
            – Gareth McCaughan
            Jun 7 at 15:04







          8




          8




          $begingroup$
          I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
          $endgroup$
          – Gareth McCaughan
          Jun 7 at 15:04




          $begingroup$
          I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
          $endgroup$
          – Gareth McCaughan
          Jun 7 at 15:04

















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