### 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: To count the number of possible licenses, I need to multiply the number of choices for each position.
The first position can be either A or M, so that's two choices.
The next five positions are digits from 0 to 9, so that's 10 choices for each one.
So the total number of licenses is 2 times 10 times 10 times 10 times 10 times 10, or 2 times 10^5.
I can simplify that by writing it in scientific notation as 2 x 10^5.