Question

An insurance agent sells dental insurance, medical insurance, and life insurance. He checks sales since the beginning of the year and finds that he has sold 50 dental, 48 medical, and 28 life insurance policies. Some customers purchased more than one type: 22 bought both dental and medical, 18 bought both medical and life, 12 bought both dental and life, and 8 bought all three types. How many of these customers bought exactly one of the three types of insurance from the agent this year?

Answer 1

The Venn Diagram for this problem is:

Hence,

Number of customers who bought exactly one of the three types = 24 + 16 + 6 = 46