A survey of engineering students revealed the following information: 51 liked LA Lakers, 49 liked Golden State Warriors and 60 liked Houston Rockets. 34 liked the LA Lakers and the GSW, 32 liked the LA Lakers and the Houston Rockets, 36 liked the Houston Rockets and the GSW, 26 liked the three teams, and 6 does not like any of the three teams. How many students were surveyed? How many liked the Lakers or the GSW?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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  1. A survey of engineering students revealed the following information:

51 liked LA Lakers, 49 liked Golden State Warriors and 60 liked Houston Rockets.

34 liked the LA Lakers and the GSW, 32 liked the LA Lakers and the Houston Rockets, 36 liked the Houston Rockets and the GSW, 26 liked the three teams, and 6 does not like any of the three teams.

  1. How many students were surveyed?
  2. How many liked the Lakers or the GSW?
  3. How many liked exactly one of the three teams?
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