Explanation Given Information: The play requires 7 male and 4 female and a total of 10 male and 8 female actors re available to play the roles and the roles are, Escalus, Paris, Romeo, Mercutio, Benvolio, Tybalt, Friar Lawrence, Lady Montague, Lady Capulet, Juliet, Juliet’s nurse. Formula used: The Decision Algorithm is to make a set of decisions to determine the number of possible outcomes. The Addition Principle is, if there is a choice among r disjoint alternatives and alternative 1 has n 1 possible outcomes, alternative 2 has n 2 possible outcomes and so on and alternative r has n r possible outcomes with no two outcomes same, then the total number of outcomes are n 1 + n 2 + … + n r . The Multiplication Principle, if there is a sequence of choice with r disjoint steps and step 1 has n 1 possible outcomes, step 2 has n 2 possible outcomes and so on and step r has n r possible outcomes with no two outcomes same, then the total number of outcomes are n 1 × n 2 × … × n r . Calculation: Consider the play requires 7 male and 4 female and a total of 10 male and 8 female actors re available to play the roles. Use the Decision Algorithm to make a set of decisions to determine the number of possible outcomes. Consider the Decision Algorithm, choose the casts. Since, an actor can play only one role. Step 1: Choose a male actor to play Escalus. Since, there are 10 males. Thus, Step 1 has 10 choices. Step 2: Choose a male actor to play Paris. Since, there are 9 males. Thus, Step 2 has 9 choices. Step3: Choose a male actor to play Romeo. Since, there are 8 males. Thus, Step 3 has 8 choices. Step 4: Choose a male actor to play Mercutio

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ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 6.3, Problem 47E

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To calculate: The number of possible casts of the play Romeo and Juliet if the play requires 7 male and 4 female and a total of 10 male and 8 female actors re available to play the roles.

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Chapter 6.3, Problem 46E

Chapter 6.3, Problem 48E

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Chapter 6 Solutions

Finite Mathematics

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

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The number of possible casts of the play Romeo and Juliet if the play requires 7 male and 4 female and a total of 10 male and 8 female actors re available to play the roles.

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To calculate: The number of possible casts of the play Romeo and Juliet if the play requires 7 male and 4 female and a total of 10 male and 8 female actors re available to play the roles.

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Chapter 6 Solutions