Posted by **Jason** on Saturday, March 5, 2011 at 6:47pm.

In base 5, how many two digit numbers are there?

- Algebra -
**MathMate**, Saturday, March 5, 2011 at 8:12pm
To find the number of 2-digit numbers in base 10, we find:

1. for the first digit, there are 9 choices, as 0 is not admissible.

2. for the second digit, there are all of the 10 choices.

By the multiplication rule, the number of 2-digit base 10 numbers is (10-1)(10)=90.

You can do a similar counting for base 5 numbers.

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