### Instruction: A state requires that all boat licenses consist of the letter A or M followed by any five digits. What is the number of groups of letters and numbers available for boat licenses?### Response: I need to figure out how many different ways I can form a boat license with the given constraints.
Since the first position can only be either A or M, there are only two choices for the first letter.
For each of the remaining five positions, there are ten choices, since any digit from 0 to 9 is allowed.
To find the total number of combinations, I can use the multiplication principle: multiply the number of choices for each position.
So the number of groups of letters and numbers is 2 x 10 x 10 x 10 x 10 x 10, or 2 x 10^5.