### How can you represent days of month using two 6 sided dice ?

You can write one number on each face of the dice from 0 to 9 and you have to represent days from 1 to 31, for example for 1, one dice should show 0 and another should show 1, similarly for 31 one dice should show 3 and another should show 1.

**Answer is:**

Dice 1: 0 1 2 3 5 7

Dice 2: 0 1 2 4 6 8

**How?**

Basically you have to show 11, 22 so 1 and 2 should be present in both dices, similarly to show 01, 09 0 should be present in both dices, now the trick is for showing 9 you can use dice with 6 printed on one of the face.

Ayushi Grover says

1 2 3 4 7 6

5 8 9 0 1 2

Represent them all.

Alan Joseph says

We can also represent it using base 6. if there are only ‘x’ digits in base ‘n’ no, then, we can represent maximum of (n^x)-1 nos using only ‘x’ digits.

eg:

for x=2 and n=10, i.e:base 10 and 2 digits

max:10^2-1:99,

similarly,

for x=2 and n=6, i.e base 6,

max:6^2-1:35

So 35 nos can be represented, which is more than 31, the max no of days.

scarlet says

why using 0 twice? we can use 9 istead of 0 in one of the dice

puzzlersworld says

nice question, but which 0 you want to remove as you have to represent 01, 02, 03, 04, 05, 06, 07, 08 and 09

If you remove 0 from one dice, 1 to 9 should all be present in other dice(and that’s not possible)

prabhat kumar sengar says

Dice 1: 0,1,2,3,5,4

Dice 2: 0,1,2,6,8,7

azhar says

but what abt 19 and 29 ??

puzzlersworld says

if u can do 16 and 26 you can do 19 and 29 as well, just reverse the 6 ðŸ™‚

BaBa says

first dice :0,1,2,3,4,5

second dice :0,1,2,6,7,8

6 can be used for both 6 and 9.