If n(A) = 108, n(A U B) = 142, and n(AB) = 42, find n(B).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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If \( n(A) = 108 \), \( n(A \cup B) = 142 \), and \( n(A \cap B) = 42 \), find \( n(B) \).
Transcribed Image Text:If \( n(A) = 108 \), \( n(A \cup B) = 142 \), and \( n(A \cap B) = 42 \), find \( n(B) \).
Expert Solution
Step 1: Given:

n open parentheses A close parentheses equals 108 comma space n open parentheses A union B close parentheses equals 142 comma spaceand n open parentheses A intersection B close parentheses equals 42.

We have to find: n open parentheses B close parentheses.

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