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What is the difference between permutations and combinations?
Subject
Mathematics
Question Description
Counting Techniques
ALL questions below must be answered. Show ALL step-by-step calculation. Upload this modified Answer Form to the intellipath Unit 8 Submission lesson. Make sure you submit your work in a modified MS Word document; handwritten work will not be accepted. If you need assistance, please contact your course instructor.
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)
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)
a.Determine the number of different license plates that can be created using this 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 all alphanumeric characters only once.
b.You and a friend are witnesses of a car accident in your state. But you can only remember a few of the first alphanumeric characters on the license plate.
3.Your community has asked you to help the Young Men's Christian Association (YMCA) sports director organize a season of sports.
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