Math 2534 Practice Problems:
Use the following equation to answer the following problems:
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)
Problem 1:
An Insurance Company classifies policy holders according to age, sex and marital status.
Let the universal set U contain 500 policy holders. Let A be the set of all men policy
holders. Let B be the set of all married policy holders. Let C be the set of all policy
holders under 25 years. There are 350 married policy holders. There are 240 policy
holders under 25. There are 230 married men. There are 110 policy holders who are
married and under 25. There are 100 men under 25. There are 40 married men under 25.
Finally, there are 10 single women 25 years and older. How many policy holders are
men?
Problem 2:
In a local investors’ club, 42 investors own GM stock, 23 own IBM and 59 own AT&T.
It is also true that 9 own GM and IBM, 19 own GM and AT&T, 12 own IBM and AT&T,
6 own GM, IBM and AT&T and 83 own none of these stocks. How many investors are in
the club?
Problem 3:
Complete the following problem:
Five hundred T.V. viewers were surveyed to find out how many watched the following
sports events: football, hockey and basketball. Two hundred and eighty five watched
football, one hundred and ninety five watched hockey, one hundred and fifteen watched
basketball, forty five watched both football and basketball, seventy watched football and
hockey, fifty watched hockey and basketball and fifty watched none of these events.
a) How many watched all three?
b) How many watched hockey only?
.