SOLUTION: In a class of 100 students, it is known that 45 study mathematics, 26 study chemistry and 27 study physics. It is also known that 19 of the students study both mathematics and chem

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Question 293820: In a class of 100 students, it is known that 45 study mathematics, 26 study chemistry and 27 study physics. It is also known that 19 of the students study both mathematics and chemistry, 8 study mathematics and physics, 10 study chemistry and physics, and 3 students study mathematics, chemistry and physics. How many of these students study only chemistry.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
zero students study only chemistry.
3 students study all three
19 study math and chem 19-3=16 study just chem and math
10 study chem and physics so 7 study just chem and physics.
That's 3+16+7=26 who study chem so far.
But there is a total of 26 who study chem. So zero study only chem.