A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is ...

A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 8 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?

Quiz

Answer/Solution

584

Steps/Work

Pretty simple actually
Number of 1 letter symbols = 8
Number of 2 letter symbols = 8*8
Number of 3 letter symbols = 8*8*8
The answer is sum of the 3. =584
So the answer is B.