A survey was conducted to know the hobby of 220 students of class IX. Out of which 130 students informed about their hobby as rock climbing and 180 students informed about their hobby as sky watching. There are 110 students who follow both the hobbies. Then how many students do not have any of the two hobbies ? How many of them follow the hobby of rock climbing only ? How many students follow the hobby of sky watching only ?
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Answer:
20 students do not have any of the two hobbies
Rock Climbing only = 20
sky watching only = 70
Step-by-step explanation:
Total = T =220
Rock Climbing = R = 130
Sky watching = S = 180
both the hobbies = R ∩S = 110
None hobbies = N
T = R + S - R ∩S + N
=> 220 = 130 + 180 - 110 + N
=> N = 20
20 students do not have any of the two hobbies
Rock Climbing only = R - R ∩S = 130 - 110 = 20
Rock Climbing only = 20
sky watching only = S - R ∩S = 180 - 110 = 70
sky watching only = 70
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