4. Six people attend the theater together and sit in a row with exactly six seats.a. How many ways can they be seated together in the row?b. Suppose one of the six is a doctor who must sit on the aisle in case she is paged. How many wayscan the people be seated together in the row with the doctor in an aisle seat?c. Suppose the six people consist of three married couples and each couple wants to sit togetherwith the husband on the left. How many ways can the six be seated together in the row?

Answered: Image /qna-images/answer/bca22791-6cd6-425c-940f-8830e3e571ea.jpg

Answered: 4. Six people attend the theater…

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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In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9 families own neither a minivan nor a BMW sedan. There are are 40 families in the neighborhood. a. How many families own a minivan or a BMW sedan? b. How many families own a minivan and a BMW sedan? Thank you!
Represent the problem with Venn diagram and answer the question based on the diagram. Twenty-four people in town have decided to form three clubs. One-half of the people belong to each club, one-third of the people to each pair of club and one-fourth of the people to all three clubs. Questions: How many people belong to at least one club? How many people belong to none?
A company sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, mustard, or ketchup. a. How many different hamburgers can be ordered with exactly 5 extras? b. How many different regular hamburgers can be made that use any 5 of the extras? c. How many different regular hamburgers can be ordered with at least 3 extras?
C. Answer each of the following. In how many ways can 6 persons be seated in a row? 2. In how many ways can 8 students occupy the 8 seats in a classroom?
2. At Passmore University (PU) there are 600 students taking Physics or Calculus. 154 are taking Physics, 488 are taking Calculus, and 42 are taking both Physics and Calculus. How many are taking Calculus but not Physics? O
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