The Principle of Inclusion-Exclusion: Problem 1

Problem: (1) In a sports club, there are 50 members. 30 people go to badminton class, while 35 people are signed up for table tennis. How many people are signed up for both badminton and table tennis?

(2) In a class there are 30 people, of which is divided into three homework categories: only completed math homework, only completed English homework, or both types of homework are completed. There are 20 people who completed their English homework, and there are 23 people who completed math homework. How many people completed only one type of homework?

Key: Analyze problem, draw Venn diagram

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