# If I have 16 different symbols, how many of these symbols can I combine to create no more than 16.777.216 unique combinations?

If I have 16 different symbols, how many of these symbols can I combine to create no more than 16.777.216 unique combinations?

Eg. I have all symbols of the Hexadecimal language (16).

How many combinations can I create with X amount of symbols to not have more than 16.777.216 unique combinations maximum?

The position of each symbol is of importance.

• How many combinations do you get with 2 symbols? How many with $n$ symbols for $n\in\mathbb{N}$? – Alex B. Dec 4 '10 at 15:56

Six, because $16^6 = 16.777.216$.