1. Homework Questions?

3. When a venn diagram has numbers surrounded by parenthesis, that is stating the NUMBER of elements in the subset. NOT the element itself. Example: If (3) means that there are 3 elements in the set P ∩ Q, how many elements are in: a.P b.Q’ c.P U Q d.P, but not Q e.Q but not P f.Neither P nor Q Note**

4. A survey was done of Lincoln Elementary School to find out which kind of fruit the students prefer to eat. You were told there are 175 total students asked, 72 said they liked apples, 67 said they liked bananas, and 16 said neither. a.You were asked to create a Venn diagram of all the survey’s results. b.How many students do not like apples? Problem 1

5. In a company of 400 people, 280 use their work email addresses for their correspondence, and 200 use their private email addresses. Another 40 employees do not use email at all. a.Draw a venn diagram to represent this information b.How many employees use both their work email and their private email? c.How many employees are in violation of the company’s policy to use only their company email addresses? Problem 2

6. In a year group of 63 students, 22 study Biology, 26 study chemistry and 25 study Physics. 18 study both Physics and Chemistry, four study both Biology and Chemistry, and three study both Physics and Biology. One studies all three. How many students study: a.Biology only b.Physics or Chemistry c.None of Biology, Physics or Chemistry d.Physics, but not Chemistry? Problem 3

7. There are 32 students available for the woodwind section of the school orchestra. 11 students could play flute, 15 could play the clarinet, and 12 could play the saxophone. Two could play the flute and the saxophone. Two could play the flute and clarinet. And six could play the clarinet and saxophone. One student could play all three. Find the number of students who could play: a.Woodwind instruments other than the flute, clarinet, and saxophone. b.Only the saxophone c.The saxophone and clarinet but not the flute d.Only one of the clarinet, flute, or saxophone. Problem 4