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In a group of 42 students 22 take history 17 take biology and 8 take both history and biology A How many students take biology but not history B How many students take neither bio or hist?
Wiki User
∙ 15y ago
A: 9 students take biology but not history. B: 11 take neither bio nor history. Reasons: A: 9 is the answer because if you subtract the number of students who take history and bio (8) from the total number of bio students (17) you get 9 (the remaining number of bio students who do not take history). B: 11 is the answer because a total of 22 students take history. however, 8 students take bio and history, and before, we found that 9 students only take bio. Therefore, if we add up the number of only bio students and history students (of which some also take bio, but are not exclusively bio), we get 31 students. If we subtract 31 from 42 (the total number of students), we get 11 remaining students who are in neither bio nor history.
Wiki User
∙ 15y ago
A) To find the number of students taking only Biology, subtract the number taking both from the total taking biology: 17 - 8 = 9 students taking biology but not history. B) To find the number taking neither biology nor history, subtract the total taking at least one subject from the total students: 42 - (22 + 17 - 8) = 11 students taking neither subject.
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