Question

the venn diagram below shows survey results of cities visited by a group of people in recent trip to europe. how many people visited dublin or london? 346 88 119 327

Explanation:

Step1: Identify relevant regions

We want to find the number of people who visited Dublin or London. We need to sum the non - overlapping and overlapping parts of the Dublin and London circles in the Venn - diagram.

Step2: Sum the values

The values in the Dublin circle are 76, 31, 24 and in the London circle are 24, 54, 89. But we don't double - count the 24 (the intersection part). So the sum is \(76 + 31+24 + 54+89=274\).

Answer:

There is an error as the options provided (346, 88, 119, 327) do not match the correct answer 274. If we assume there was a calculation error in the problem - setup and we re - calculate by adding all the values in the Dublin and London circles including the double - counted intersection value once more: \(76+31 + 24+24+54+89=298\) which still does not match the options. However, if we use the formula \(n(D\cup L)=n(D)+n(L)-n(D\cap L)\) where \(n(D)=76 + 31+24=131\), \(n(L)=24 + 54+89 = 167\) and \(n(D\cap L)=24\), then \(n(D\cup L)=131+167 - 24=274\). Since the options are incorrect based on the correct Venn - diagram logic, there may be a misprint in the problem.