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Year 11 Maths - Specialist Principles of counting

The inclusion-exclusion principle

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Questions
Question 1
56553

\(A=\{2,3,4,5,6\},\,B=\{5,6,7,8,9\}\)

Find \(A \cup B\)

\(8\)

$$
\begin{aligned}
|A \cup B|&=|A|+|B|-|A \cap B| \\
\{A \cap B\}&=\{5,6\} \\
\therefore|A \cup B|&=5+5-2 \\
&=8
\end{aligned}
$$

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