Explanation Given Information: The play Swan Lake in which all the female roles will be danced by men and vice versa and a total of 12 male and 4 female actors are available to play the roles and list of the main characters is, Prince Siegfried Prince Siegfried’s mother Princess Odette, the White Swan The Evil Duke Rotbart Odile, the Black Swan Cygnet #1, young swan Cygnet #2, young swan Cygnet #3, young swan 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 Swan Lake in which all the female roles will be danced by men and vice versa and a total of 12 male and 4 female actors are available to play the roles. Use the Decision Algorithm to make a set of decisions to determine the number of possible outcomes. Since, all the female roles will be danced by men and vice versa, the female roles are done by male actors and vice versa. Consider the Decision Algorithm, choose the casts. Since, an actor can play only one role. Step 1: Choose a female actor to play Prince Siegfried

7th Edition

ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 6.3, Problem 48E

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To calculate: The number of possible casts of the play Swan Lake in which all the female roles will be danced by men and vice versa and a total of 12 male and 4 female actors are available to play the roles.

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Chapter 6.3, Problem 47E

Chapter 6.3, Problem 49E

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The number of possible casts of the play Swan Lake in which all the female roles will be danced by men and vice versa and a total of 12 male and 4 female actors are available to play the roles.

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To calculate: The number of possible casts of the play Swan Lake in which all the female roles will be danced by men and vice versa and a total of 12 male and 4 female actors are available to play the roles.

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Chapter 6 Solutions