Be sure to describe or define the Fundamental Counting Principle, combinations, and permutations in your paper introduction. Include detailed calculations and solutions in the body of your paper.

Questions:

1. How many nine-digit student identification numbers can be created from letters and numbers if the first four characters must be upper case letters from A to D and the last five must be digits from 0 to 9? Repetition of letters and numbers is not allowed.
2. Five Card Draw is a poker game in which each player is dealt an initial hand of five cards from a 52-card deck. How many unique five-card hands are possible?
3. To log into your smart phone, a four-digit code must be entered. The code must use the digits 0 through 9 or upper case letters A through D. If digits and number can be repeated, how many four-digit codes can be created?