100 students were interviewed. 28 took Physical Education, 31 took Biology, 42 to English, 9 took Physical Education and Biology, 10 took Physical Education and English and 6 took Biology and English.
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Answer:
no subject = 24
only physical Education = 9
Step-by-step explanation:
Physical Education P = 28
Biology B = 31
English E = 42
P ∩ B = 9
P ∩ E = 10
E ∩ B = 6
Assuming no one took all three subjects P ∩ B ∩ E = 0
Total = 100
Total = P + B + E - P ∩ B - P ∩ E - E ∩ B + P ∩ B ∩ E + no subject
=> 100 = 28 + 31 + 42 - 9 - 10 - 6 + 0 + no subject
=> no subject = 24
only physical Education = P - P ∩ B - P ∩ E + P ∩ B ∩ E = 28 - 9 - 10 + 0
= 9
biology and Physical education but not english = P ∩ B - P ∩ B ∩ E = 9
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