Question

the venn - diagram below shows survey results of cities visited by a group of people in recent trips to europe. how many people visited dublin or london? o 37 o 119 o 80 o 346

Explanation:

Step1: Recall set - union formula

The number of people who visited Dublin or London is given by \(n(D\cup L)=n(D)+n(L)-n(D\cap L)\) in set - theory terms. In the Venn - diagram, we sum the non - overlapping and overlapping parts of the Dublin and London circles.

Step2: Identify values from Venn - diagram

The number of people who visited only Dublin is \(27\), the number of people who visited both Dublin and London is \(12\), and the number of people who visited only London is \(23\).

Step3: Calculate \(n(D\cup L)\)

\(n(D\cup L)=27 + 12+23=62\).

Answer:

62