Math Problem Statement

Venn Diagram for Exam Review (1).pdf

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Last semester, 250 of the MAT 113 students were surveyed to see if they worked over the past weekend (Friday, Saturday, or Sunday). Their responses are reflected in the Venn Diagram below. How many students surveyed worked Saturday or Sunday?

Solution

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Math Problem Analysis

Mathematical Concepts

Set Theory
Venn Diagrams
Inclusion-Exclusion Principle

Formulas

Inclusion-Exclusion Principle: |A ∪ B| = |A| + |B| - |A ∩ B|

Theorems

Inclusion-Exclusion Theorem

Suitable Grade Level

College-Level (Introductory Set Theory)