# How many possible combinations are there if you use three characters and the characters can be letters or numbers?

##### 1 Answer
Aug 3, 2016

7770 triples of distinct alphanumeric characters.

#### Explanation:

There are 27 alphabets A-Z in English and and 10 numeric decimal digits 0-0. When pooled together, there are 37 alphanumeric characters. So, we can make

$37 {C}_{3} = \frac{37 X 36 X 35}{3 X 2 X 1} = 7770$ combinations of triples of distinct alphanumeric characters..