Question

A television poll of 151 persons found that 68 watched "Law and Disorder"; 61 watched "25"; 52 watched "The Tenors"; 16 watched both "Law and Disorder" and "25"; 25 watched both "Law and Disorder" and "The Tenors"; 19 watched both "25" and "The Tenors"; and 26 watched none of these shows. How many persons watched all three shows?

Name: Problem 66, Chapter 1: Discrete Mathematics
Uploaded: 2022-02-16T22:19:12-08:00
Duration: 1 min 45 s
Channel: Rylie Howey
Description: A television poll of 151 persons found that 68 watched "Law and Disorder"; 61 watched "25"; 52 watched "The Tenors"; 16 watched both "Law and Disorder" and "25"; 25 watched both "Law and Disorder" and "The Tenors"; 19 watched both "25" and "The Tenors"; and 26 watched none of these shows. How many persons watched all three shows?

   A television poll of 151 persons found that 68 watched "Law and Disorder"; 61 watched "25"; 52 watched "The Tenors"; 16 watched both "Law and Disorder" and "25"; 25 watched both "Law and Disorder" and "The Tenors"; 19 watched both "25" and "The Tenors"; and 26 watched none of these shows. How many persons watched all three shows?

Discrete Mathematics

Richard Johnsonbaugh 8th Edition

Chapter 1, Problem 66

Instant Answer

Solved by Expert Rylie Howey

02/16/2022

Step 1

- 68 people watched "Law and Disorder" - 61 people watched "25" - 52 people watched "The Tenors" Show more…

Show all steps

Thanks for your feedback!

A television poll of 151 persons found that 68 watched "Law and Disorder"; 61 watched "25"; 52 watched "The Tenors"; 16 watched both "Law and Disorder" and "25"; 25 watched both "Law and Disorder" and "The Tenors"; 19 watched both "25" and "The Tenors"; and 26 watched none of these shows. How many persons watched all three shows?

Play audio

Feedback

Rylie Howey and 63 other subject Calculus 2 / BC educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Inclusion-Exclusion Principle

A fundamental counting method in set theory that adjusts for overcounting by successively adding and subtracting the sizes of individual sets, their pairwise intersections, and then the intersection of all sets. This principle is especially useful for determining the number of elements in the union of several overlapping sets.

Set Theory and Venn Diagrams

Key concepts that involve understanding and visualizing the relationships between sets, including their unions, intersections, and complements. Venn diagrams provide an intuitive way to represent and solve problems involving overlapping groups, such as survey data analysis.

Please give Ace some feedback