How many different ways can these roles be filled from these auditioners? (2) How many different ways can these roles be filled if exactly one of Karthikey and Tiffany gets a part? (3) How many different ways can these roles be filled if at least one of Karthikey and Tiffany gets a part?

How many different ways can these roles be filled from these auditioners? (2) How many different ways can these roles be filled if exactly one of Karthikey and Tiffany gets a part? (3) How many different ways can these roles be filled if at least one of Karthikey and Tiffany gets a part?

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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Question

Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 13 males audition, one of them being Karthikey, 7 females audition, one of them being Tiffany, and 5 children audition. The casting director has 4 male roles available, 2 female roles available, and 1 child role available. (1) How many different ways can these roles be filled from these auditioners? (2) How many different ways can these roles be filled if exactly one of Karthikey and Tiffany gets a part? (3) How many different ways can these roles be filled if at least one of Karthikey and Tiffany gets a part? (4) What is the probability (if the roles are filled at random) of both Karthikey and Tiffany getting a part?

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