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Option 1 : 35
Given:
A Class has 100 students with roll number from 101 to 200
Formula used:
n(P ∪ C ∪ B) = n(P) + n(P) + n(C) + n(B) – n(P ∩ B) – n(P ∩ C) – n(C ∩ B) + n(P ∩ C ∩ B)
Calculation:
Physics students be P
Chemistry students be C
Biology students be B
⇒ (100/2) + (100/5) + (100/7) – – – +
⇒
⇒ (50 + 20 + 14.28 – 7.14 – 10 – 2.85 + 1.42)
⇒ (50 + 20 + 14 – 7 – 10 – 2 + 1)
⇒ 66
Students do not study any exam = ∪ – n(P ∪ C ∪ B)
⇒ 100 – 66 = 34 in approximately 35
∴ Students do not study any exam is 35.
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