- This entire section consists of one type of problem.
- There is an (easy) two set variation
- And a (harder) three set variation.
- In either case, you must do a little arithmetic. If you choose not to, don't do the problems.
- Probably 20% of the next test.
- Important : n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
- n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(A ∩ C) - n(B ∩ C) + n(A ∩ B ∩ C)
- At Least n means n or more
- At Most n means n or less
- and means in both
- or means in one or the other or both.
- Problem 4 page 80
Fleet Foot Racing interviewed 150 long distance
runners to determine the type of races in which
they participated. The following information was
determined
102 participated in a marathon
93 participated in a triathlon
55 participated in a marathon and a triathlon.
How many participated in a marathon?
How many participated in a triathlon?
How many participated in both?
How many participated in none?
How many participated in exactly one?
How many participated in one or more?
- Number 5 page 80
Thirty Tree US Cities were researched to determine
whether they had a professional sports team, a
symphony, or a children's museum. The following
information was determined
16 had a professional sports team
17 had a symphony
15 had a children's museum
11 had a sports team and a symphony
7 had a professional sports team and a
children's museum
9 had a symphony and a children's museum
5 had all three
How many had only a professional sports team
How many had a sports team and a symphony but not a children's museum
How many had a professional sports team or a symphony
How many had two or more activities
How many had at least one activity
How many had no activities
How many had exactly two activities
- Number 10 page 81
In a survey of college students it was found that
356 owned an iPod
293 owned a laptop
285 owned a gaming system
193 owned an iPod and a laptop
200 owned an iPod and a gaming system
139 owned a laptop and a gaming system
68 owned all three
26 owned none of these
How many students were surveyed?
- I made this one up
Find the error in the following:
In a survey of 100 people
78 liked shrimp gumbo
54 liked shrimp etouffee
Therefore 132 liked either.