Assessment of Set Intersections

Assessment of Set Intersections

Secondary 4

Of the \(41\) adults surveyed, \(26\) play piano and \(18\) play guitar.

\(\varepsilon = \{\text{adults surveyed}\hspace{0.15em}\}\)

\(P = \{\text{adults who play piano}\hspace{0.15em}\}\)

\(G = \{\text{adults who play guitar}\hspace{0.15em}\}\)

With the aid of Venn diagram or otherwise, find the greatest possible value of \(n(P \cap G)\).

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Answer:\(18\)

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