Answered: Identify the following as Permutations,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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I. Identify the following as Permutations, Combinations problems. (no need to solve) 1. In a race in which six automobiles are entered and there are not ties, in how many ways can the first four finishers come in? PERMUTATION 2. A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection? ______________________ 3. A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be selected? ______________________ 4. From a club of 20 people, in how many ways can a group of three members be selected? COMBINATION 5. From the 30 pictures I have of my daughter’s first birthday, my digital picture frame will only hold 3 at a time. a. How many different groups of 3 pictures can I put on the frame? ___________________ 6. b. What if I just wanted to fill the first three places with my favorite, best smile and best smashing of the cake? PERMUTATION 7. A corporation has ten members on its board of directors. In how many ways can it elect a president, vice-president, secretary and treasurer? ___________________ 8. For a segment of a radio show, a disc jockey can play 7 songs. If there are 12 songs to select from, in how many ways can the program for this segment be arranged? PERMUTATION 9. How many different ways can a director select 4 actors from a group of 20 actors to attend a workshop on performing in rock musicals? ___________________ 10. What if the director in #28 wanted to fill positions of lead, supporting actor, extra 1 and extra 2? PERMUTATION 11. From the 20 CD’s you bought this past year, you plan to take 3 with you on vacation. How many different sets of three CD’s can you take? ___________________ 12. Suppose you find 7 articles related to the topic of your research paper. In how many ways can you choose 5 articles to read? COMBINATION 13. The Company has ten members on its board directors. In how many different ways can it elect a president, vice-president, secretary and treasurer? ___________________ 14. There are 12 standby who hope to get on your flight to Hawaii, but only 6 seats are available on the plane. How many different ways can the 6 people be selected? COMBINATION II. Determine which situations involves permutation and which situations involves combination. Solve the problem. 1. The art club has 15 members. How many ways can 4 officers be selected? ___________________________________________________________________________ 2. A group has 15 members. In how many ways can 4 officers consisting of president, vice- president, secretary, and treasurer be chosen? ___________________________________________________________________________

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