# Two dice make a calendar

Little riddle: if you have two dice (so each has 6 sides), with 1 digit on each side and you want to be able to form all numbers between 1 and 31 (for the days of the month), what digits would be on each dice? E.g. if dice #1 has 0-1-2-3-4-5 and the second 4-5-6-7-8-9, it won’t work, because you cannot form the number ’22’.

Try to guess and I’ll give the answer next week. There’s a little trick involved! I first tried to figure it out without looking at the dice, and I enjoyed the mind gymnastics.

## 24 thoughts on “Two dice make a calendar”

1. Got it ! But I won’t tell, otherwise I will spoil it for others :-/

2. (for the non-Dutch speakers… I meant: “done it without looking at dice and without writing anything down”)

3. Not that hard, but indeed fun to play with. Thanks ðŸ˜‰

4. Hmm, one question though: is it allowed to leave dice out from time to time? Because I could have a problem in the first 10 days ðŸ˜‰

5. @Clopin: I struggled with that too, but the riddle says “1 to 31”, so I assumed it was okay to represent the first 9 days using 1 dice.

6. @Clopin and @Inferis:

No, you need to have two dice, otherwise it wouldn’t be much fun…
So: you need to have “0” on one or both dices.
Oh, and may I point out that the digits are Arabic, and not represented by numbers of dots?

7. jan says:

sorry 123456 and 789120

8. @Jan
That would be the Clopin-Inferis way of doing it.
You can’t form “07”, “08” and “09” with your solution.

9. It’s still not that hard then. ðŸ™‚

10. Peter says:

Hint: you will need two 0s, two 1s and two 2s.

11. DaveR says:

The 9 is there all along its just hidding.
ðŸ˜‰

1. Ankit says:

Now here u spill the beans ðŸ™‚

12. *spoiler warning*

I think I got it right. (:

Dice A: zero-one-two-three-seven-eight
Dice B: zero-one-two-four-five-six

The six can be used as a nine as well.

13. Brian says:

With the 123456 and 789120 solution, the 1 in either die can be used as a “dash” so that two die could still be used to represent the first 9 days. That is: -1, -2, -3, etc.

14. Srinu says:

Dice 1 : 0 1 2 3 4 5
Dice 2 : 0 1 2 6 7 8

This is exact solution for this question..

1. Sagar dash says:

How to show
09

2. Syed Asim Hussain Bukhari says:

where is 9?
How would be form 09 , 19 and 29?

1. Suzzette Meyer says:

Flip the 6 so it’s a 9

15. Syed Asim Hussain Bukhari says:

oh got it

16. Nicholas says:

Flip the sox to form a 9.

17. Rick says:

Also works is…

0 1 2 4 5 7
0 1 2 3 8 9 (9 is also 6)

18. jumbodas says:

If on both dice 0 appears then what ???

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