Question
Download Solution PDFIn a survey of 140 students, 60 students like to play video games, 70 students like to play indoor games, and 75 students like to play outdoor games. Additionally, 30 students like to play both indoor and outdoor games, 18 like both video games and outdoor games, 42 play both video games and indoor games, and 8 like all types of games. Use the Venn diagram to find the students who play only outdoor games.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFTotal students = 140
Number of students who like to play video games = 60
Number of students who like to play indoor games = 70
Number of students who like to play outdoor games = 75
Number of students who like to play both indoor and outdoor games = 30
Number of students who like both video games and outdoor games = 18
Number of students who play both video games and indoor games = 42
Number of students who like all types of games = 8
Number of students who play only outdoor games = (Number of students who like to play outdoor games - Number of students who like to play both indoor and outdoor games - Number of students who like both video games and outdoor games) + Number of students who like all types of games
Number of students who play only outdoor games = (75 - 30 - 18) + 8
Number of students who play only outdoor games = 35
Hence, the correct answer is "35".
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