Part 1 Module 3 Venn Diagrams And Survey Problems Worksheet With Answers Page 4
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14EXAMPLE 1.3.3
A survey of faculty and graduate students at the University of Florida's film school
revealed the following information:
51 admire Moe
49 admire Larry
60 admire Curly
34 admire Moe and Larry
32 admire Larry and Curly
36 admire Moe and Curly
24 admire all three of the Stooges
1 admires none of the Three Stooges
a) How many people were surveyed?
b) How many admire Curly, but not Larry nor Moe?
c) How many admire Larry or Curly?
d) How many admire exactly one of the Stooges?
e) How many admire exactly two of the Stooges?
SOLUTION
Step 1:
Step 2:
We will organize the information in the
"24 admire all three of the Stooges:"
following Venn diagram, where "M," "L," and
"C" represent the sets of those who admire
Moe, Larry and Curly, respectively:
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