Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Set Theory
Cardinality
Power Sets
Subsets
Disjoint Sets

Formulas

Binomial Coefficient: \binom{n}{k}
Cardinality of Power Set: |P(E)| = 2^n

Theorems

Basic Counting Principle
Inclusion-Exclusion Principle
Properties of Disjoint Sets

Suitable Grade Level

University Level (Set Theory/Discrete Math)