(5 votes, average: 4.20 out of 5)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.
represent days of month using two dice
Answer is:
Dice 1: 0 1 2 3 5 7
Dice 2: 0 1 2 4 6 8
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.
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1 2 3 4 7 6
5 8 9 0 1 2
Represent them all.
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.
why using 0 twice? we can use 9 istead of 0 in one of the dice
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)
Dice 1: 0,1,2,3,5,4
Dice 2: 0,1,2,6,8,7
but what abt 19 and 29 ??
if u can do 16 and 26 you can do 19 and 29 as well, just reverse the 6 🙂
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.