Question

given the following venn diagram, let blue represent the students taking drama (d) and green represent the students taking math (m). what is n(d ∪ m)?

Explanation:

Step1: Recall the formula for the union of two sets

The formula for \(n(D\cup M)\) is \(n(D\cup M)=n(D - M)+n(M - D)+n(D\cap M)\)

Step2: Identify the values from the Venn - diagram

From the Venn - diagram, \(n(D - M) = 2\), \(n(M - D)=5\), and \(n(D\cap M)=4\)

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

Substitute the values into the formula: \(n(D\cup M)=2 + 5+4\)

$$n(D\cup M)=11$$

Answer:

\(11\)