135 like swimming:A 140 like lounging :B 170 like eating:C 80 like swimming and lounging 95 like swimming and eating 85 like lounging and eating 50 like all three

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Solve a Survey Problem or Venn Diagram
Use the Venn diagram below and the following survey information to determine the number of
elements in each region. 250 people on a cruise ship were asked about on-board activities:
1.
135 like swimmingA
140 like lounging :B
170 like eatingC
80 like swimming and lounging
95 like swimming and eating
85 like lounging and eating
50 like all three -
a. How many people liked exactly two activities?
b. How many people liked lounging and eating, but not swimming?
c. How many people liked none of them?
Transcribed Image Text:Solve a Survey Problem or Venn Diagram Use the Venn diagram below and the following survey information to determine the number of elements in each region. 250 people on a cruise ship were asked about on-board activities: 1. 135 like swimmingA 140 like lounging :B 170 like eatingC 80 like swimming and lounging 95 like swimming and eating 85 like lounging and eating 50 like all three - a. How many people liked exactly two activities? b. How many people liked lounging and eating, but not swimming? c. How many people liked none of them?
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