Two triples

#IE#triples#sets

Statement

Given $|A|=15$ , $|B|=20$ , $|C|=25$ , $|A\cap B|=10$ , $|A\cap C|=8$ , $|B\cap C|=5$ , $|A\cap B\cap C|=3$ , compute $|A\cup B\cup C|$ .

Hint

IE.

Show solutionHide solution

Union. $15+20+25-10-8-5+3=40$ .

Conclusion. $|A\cup B\cup C|=40$ .