Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Set Theory
Percentage Calculation
Union and Intersection of Sets

Formulas

Total students = n(A ∪ B) + n(neither)
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
Students failing both = Total students - n(A ∪ B)

Theorems

Principle of Inclusion-Exclusion

Suitable Grade Level

Grades 9-12