Explanation Given information: The statement, “The Counting Formula states that if A and B are finite sets, then n ( A ∪ B ) = _ _ _ _ . ” And the choices, ( a ) n ( A ) + n ( B ) ( b ) n ( A ) + n ( B ) − n ( A ∩ B ) ( c ) n ( A ) ⋅ n ( B ) ( d ) n ( A ) − n ( B ) . Explanation: To count the elements those are in A o r B , First count elements of set A , set B to get n ( A ) + n ( B )

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

See similar textbooks

Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Videos

Question

Chapter 13.1, Problem 8AYU

To determine

The correct choice for the statement, “The Counting Formula states that if A and B are finite sets, then n(A ∪ B)=____.” The choices are

(a) n (A)+ n(B) (b) n (A)+ n(B)−n(A∩B)

(c) n (A)⋅ n(B) (d) n (A)− n(B).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.1, Problem 7AYU

Chapter 13.1, Problem 9AYU

Students have asked these similar questions

dw z = Find using direct dt If w = + x = (cost), y = (sint), z= substitution and chain rule methods.

Solve this

What are the correct answers for the second and third question on this page. I am on the Cartesian vectors unit in calculu

Chapter 13 Solutions

Precalculus

Ch. 13.1 - Prob. 1AYU Ch. 13.1 - Prob. 2AYU Ch. 13.1 - True or false The intersection of two sets is...Ch. 13.1 - Prob. 4AYU Ch. 13.1 - Prob. 5AYU Ch. 13.1 - Prob. 6AYU Ch. 13.1 - True or False If a task consists of a sequence of...Ch. 13.1 - Prob. 8AYU Ch. 13.1 - Prob. 9AYU Ch. 13.1 - Prob. 10AYU

Knowledge Booster

$Calculus$

Learn more about

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

The correct choice for the statement, “The Counting Formula states that if A and B are finite sets, then n ( A ∪ B ) = _ _ _ _ . ” The choices are ( a ) n ( A ) + n ( B ) ( b ) n ( A ) + n ( B ) − n ( A ∩ B ) ( c ) n ( A ) ⋅ n ( B ) ( d ) n ( A ) − n ( B ) .

Solution Summary: The author determines the correct choice for the statement, "The Counting Formula states that if A and B are finite sets, then n(A)+n

Concept explainers

Videos

The correct choice for the statement, “The Counting Formula states that if A and B are finite sets, then n(A ∪ B)=____.” The choices are

(a) n (A)+ n(B) (b) n (A)+ n(B)−n(A∩B)

(c) n (A)⋅ n(B) (d) n (A)− n(B).

Want to see the full answer?

Chapter 13 Solutions

The correct choice for the statement, “The Counting Formula states that if A and B are finite sets, then n ( A ∪ B ) = _ _ _ _ . ” The choices are ( a ) n ( A ) + n ( B ) ( b ) n ( A ) + n ( B ) − n ( A ∩ B ) ( c ) n ( A ) ⋅ n ( B ) ( d ) n ( A ) − n ( B ) .

Solution Summary: The author determines the correct choice for the statement, "The Counting Formula states that if A and B are finite sets, then n(A)+n

Concept explainers

Videos

The correct choice for the statement, “The Counting Formula states that if A and B are finite sets, then n(A ∪ B)=____.” The choices are (a) n (A)+ n(B) (b) n (A)+ n(B)−n(A∩B) (c) n (A)⋅ n(B) (d) n (A)− n(B).

Want to see the full answer?

Chapter 13 Solutions

The correct choice for the statement, “The Counting Formula states that if A and B are finite sets, then n(A ∪ B)=____.” The choices are

(a) n (A)+ n(B) (b) n (A)+ n(B)−n(A∩B)

(c) n (A)⋅ n(B) (d) n (A)− n(B).