In a survey of 100 students of a college it was found that 49 liked watching football, 53 lik
watching hockey and 62 liked watching basket ball. 27 liked watching football and hocke
both, 29 liked watching basket ball and hockey both, 28 liked watching football and baskı
ball both. 5 liked watching none.
Based on the above information
How many students like watching only one of the three given games ?
(a) 41
(b) 21
(c) 20
(d) 12
Answers
Answer:
Step-by-step explanation:answer will be 41 students see image attached
41 students like watching only one of the three given games
Step-by-step explanation:
Total Students = 100
Liked Watching FootBall F = 49
Liked Watching Hockey H = 53
Liked Watching BasketBall B = 62
FootBall & Hockey F ∩ H = 27
BasketBall & Hockey B ∩ H = 29
Basketball & Football = B ∩ F = 28
All three B ∩ H ∩ F = ?
None = 5
Total = F + H + B - F ∩ H - B ∩ H - B ∩ F + B ∩ H ∩ F + None
=> 100 = 49 + 53 + 62 - 27 - 29 - 28 + B ∩ H ∩ F + 5
=>B ∩ H ∩ F = 15
Only Fottball = F - B ∩ F - F ∩ H + B ∩ H ∩ F = 49 - 28 - 27 + 15= 9
Only Basketball = B - B ∩ F - B ∩ H + B ∩ H ∩ F = 62 - 28 - 29 + 15= 20
Only Hockey = H - B ∩ H - F ∩ H + B ∩ H ∩ F = 53 - 29 - 27 + 15= 12
students like watching only one of the three given games = 9 + 20 + 12
= 41
41 students like watching only one of the three given games
Learn more:
125, 100 and 145 students appeared at post graduate examination ...
https://brainly.in/question/13477941
in a survey of 290 newspaper readers, 181 of them read the Daily ...
https://brainly.in/question/12849053
In a survey of 200 students, 129 students speak Urdu, 112 students ...
https://brainly.in/question/9310074
