If n(A ∪ B) =113, n(B) =62, and n(A ∩ B) =44, what is n(A)? (Enter answer as a whole number)

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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If n(A ∪ B) =113, n(B) =62, and n(A ∩ B) =44, what is n(A)? (Enter answer as a whole number)

 

 

Expert Solution
Step 1: Introduce the given information

Given,

n open parentheses A union B close parentheses equals113

n open parentheses B close parentheses equals62

n open parentheses A intersection B close parentheses equals44

We have to find n open parentheses A close parentheses

Using formula,

n open parentheses A intersection B close parentheses equals n open parentheses A close parentheses plus n open parentheses B close parentheses minus n open parentheses A union B close parentheses

steps

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