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Project #6 Goal: To connect the concepts of probability with combinations and permutations Due Date: See "Important Dates" Total Points =...

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Project #6 Goal: To connect the concepts of probability with combinations and permutations Due Date: See "Important Dates" Total Points = 50. Each problem = 4 pts. Submit an EXCEL spreadsheet by the due date. In order to receive credit, fill in all of the blanks and show your work to the following problem. (Either write the formulas/steps or I should be able to click on a cell to view the formula that you used.) Problem 1: Create an applied problem whose solution requires the use of permutations, then solve it. Problem 2: Create an applied problem whose solution requires the use of combinations, then solve it. Problem 3: How many different license plates exist if each license plate contains 3 letters and 4 numbers? Problem 4: How many different license plates exist if each license plate contains 3 letters and 4 numbers and all four numbers are even? Problem 5: What is the probability of a license plate that contains 3 letters and 4 numbers such that all four numbers are even? Problem 6: How many different license plates exist if each license plate contains 3 different letters and 4 different numbers? Problem 7: How many different 10-digit phone numbers exist? Problem 8: How many different 10-digit phone numbers exist with an area code of 281? Problem 9: What is the probability that a 281 phone number's next digit is 7? (For example: 281-743-4580.) Problem 10: There are 55 students in a class. The class would like to choose 3 students to be "leaders" of the class. How many groups are possible? Problem 11: There are 55 students in a class. The class would like to choose 3 students to be "leaders" of the class. How many groups are possible if one student leader will be the president, another student leader will be the vice-president, and another student will be the secretary? Problem 12: Refer to Problem 12. Ibrahim is sa student in this class? What is the probability that he will be selected as a class leader?
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Combinatorics.xlsx

Project #6
Goal: To connect the concepts of probability with combinations and permutations
Due Date: See "Important Dates"
Total Points = 50. Each problem = 4 pts.
Submit an EXCEL...

Sign up to view the full answer

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