Explanation Formula used: Permutation Formula: The number of permutation of r elements selected from a set of n elements is denoted as n P r The formula for permutation is given by ( n r ) ⋅ r ! = n ! ( n − r ) ! . Five of six cars will be assigned to a driver and since the car receives could make a difference, the order of selection is important. So, choose permutation to find the possible number of ways that five taxi drivers can be assigned to six cars. By using the above mentioned formula, find the possible number of ways that five taxi drivers can be assigned to six cars by substituting n = 6 and r = 5 as follows

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Chapter 12.2, Problem 54PS

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Whether use a permutation, a combination or neither to find the possible number of ways that five taxi drivers can be assigned to six cars.

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Chapter 12.2, Problem 53PS

Chapter 12.2, Problem 55PS

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Chapter 12 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 12.1 - IN YOUR OWN WORDS What is a permutation? What is...Ch. 12.1 - Prob. 2PS Ch. 12.1 - Prob. 3PS Ch. 12.1 - Prob. 4PS Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P2 Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P3 Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P4 Ch. 12.1 - Prob. 8PS Ch. 12.1 - Evaluate each expression in Problems 3-32. 52P3 Ch. 12.1 - Evaluate each expression in Problems 3-32. 4P4

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To decide: Whether use a permutation, a combination or neither to find the possible number of ways that five taxi drivers can be assigned to six cars.

Solution Summary: The author recommends using a permutation to find the possible number of ways that five taxi drivers can be assigned to six cars.