Math Problem Statement

希望小学音乐兴趣小组又38人,有20人会手风琴,18人会钢琴,24人会电子琴,其中既会手风琴又会钢琴的有8人,既会电子琴又会钢琴的有10人,既会手风琴又会电子琴的有8人,则这三种琴都不会的至多有几人?

Solution

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Math Problem Analysis

Mathematical Concepts

Set theory
Combinatorics

Formulas

Principle of Inclusion-Exclusion

Theorems

Inclusion-Exclusion Principle

Suitable Grade Level

High school