# If you have 20 dice (with 6 faces each), how many different numbers can you create putting the dice in one line and interpreting each face as a digit?

##### 1 Answer

(a big number: according to my calculator in the order of

#### Explanation:

There are 6 different possible first die values; each of these gives a different number.

So the number of different numbers you can get with 20 dice is:

Similarly the number of different numbers you can get with 19 dice is:

or

The number of different numbers you can get with 20 dice is

Continuing this pattern, we see that

the number of different numbers you can get with 20 dice is

or