ALL questions below must be answered. Show ALL step-by-step calculation. r.
Part A: Combinations and Permutations
1. Differentiate between permutations and combinations. How are they different? What is the formula for each? (15 points total for Question 1)
How are they different?
(5 points)
?
Permutation Formula
(5 points)
?
Combination Formula
(5 points)
?
2. Each state has a standard format for license plates that includes a set number of alphanumeric characters. For this assignment, you can insert a picture of your state’s non-personalized license plate or provide a sample of the format in text. (20 points total for Question 2)
Your State’s Name
(1 point)
?
Picture of a License Plate from Your State
(or a Sample)
(1 point)
?
Describe the Character Rule for Your State’s Non-personalized License Plates
(1 point)
?
a. Determine the number of different license plates that can be created using the following format. Assume that a license plate consists of seven alphanumeric characters using numbers (0–9) and capital letters (A–Z). Find how many unique license plates can be printed using any of the 36 alphanumeric