Explanation Given Information: The person has read 150 of the 400 novels in his home, but his sister has read 200 , of which only 50 are novels he has read as well. Formula used: The intersection of two sets A and B is given by the set of all elements that are common to A and B . A ∩ B = { x | x ∈ A and x ∈ B } For events E and F , n ( E ∪ F ) = n ( E ) + n ( F ) − n ( E ∩ F ) . The formula for cardinality rule is n ( C ′ ) = n ( S ) − n ( C ) , where C is any set. Calculation: Consider the person has read 150 of the 400 novels in his home, but his sister has read 200 , of which only 50 are novels he has read as well. Let S be the set of all the novels at person’s home. Since, number of novels at home is 400 . Recall that the number of elements in a set A is n ( A ) . Thus, n ( S ) = 400 . Let A be the event that the person has read a novel. Since, the number of novels the person has read is 150 . Thus, n ( A ) = 150 . Let B be the event that Roslyn has read a novel. Since, the number of novels Roslyn has read is 200 . Thus, n ( B ) = 200 . Since, the number of novels both a person and Roslyn have read is 50 . Recall that the intersection of two sets A and B is given by the set of all elements that are common to A and B . A ∩ B = { x | x ∈ A and x ∈ B } Thus, the number of novels both a person and Roslyn have read is the set A ∩ B . Since, the number of novels both a person and Roslyn have read is 50 . Thus, n ( A ∩ B ) = 50 . Recall that for events E and F , n ( E ∪ F ) = n ( E ) + n ( F ) − n ( E ∩ F )

7th Edition

ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 6, Problem 11RE

To determine

To calculate: The formula for cardinality rule and calculate the value of the number of novels neither of a person read where he has read 150 of the 400 novels in his home, but his sister, Roslyn has read 200, of which only 50 are novels he has read as well.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6, Problem 10RE

Chapter 6, Problem 12RE

Students have asked these similar questions

Suppose that in a certain state, all automobile license plates have three uppercase letters followed by three digits. Use the method illustrated in Example 9.2.2 to answer the following questions. (a) How many different license plates are possible? To answer this question, think of creating a license plate as a 6-step process, where steps 1–3 are to choose the uppercase letters to put in positions 1–3 and the remaining steps are to choose the digits to put in the remaining positions. There are ways to perform steps 1–3, and there are ways to perform the remaining steps. Thus, the number of license plates is . (b) How many license plates could begin with A and end in 0? In this case, the number of ways to place the A in Step 1 is and the number of ways to place the 0 in the final step is . Thus, the answer is . (c) How many license plates could begin with UVA? In this case, the number of ways to perform steps 1–3 is . Thus, the answer is . (d) How many license…

Please answer part d, e and f.

A merchant surveyed 330 people to determine the way they learned about an upcoming sale. The survey showed that 160 learned about the sale from the radio, 150 from television, 210 from the newspaper, 80 from radio and television, 120 from radio and newspapers, 110 from television and newspapers, and 60 from all three sources. How many people learned of the sale from radio or television but not the newspaper? nothing people learned of the sale from radio or television but not the newspaper.

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

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The formula for cardinality rule and calculate the value of the number of novels neither of a person read where he has read 150 of the 400 novels in his home, but his sister, Roslyn has read 200 , of which only 50 are novels he has read as well.

Solution Summary: The author explains the formula for cardinality rule and calculates the value of the number of novels neither of a person read.

Concept explainers

Videos

To calculate: The formula for cardinality rule and calculate the value of the number of novels neither of a person read where he has read 150 of the 400 novels in his home, but his sister, Roslyn has read 200, of which only 50 are novels he has read as well.

Want to see the full answer?

Chapter 6 Solutions