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Q.

Out of 64 students, the number of students taking Mathematics is 45 and number of students taking both Mathematics and Biology is 10. Then, the number of students taking only Biology is

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answer is 19.

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Detailed Solution

Let M and B denote the number of students taking Mathematics and Biology. Then, n(M)=45,n(M∩B)=10,n(M∪B)=64∴ n(B)=n(M∪B)−n(M)+n(M∩B)=64−45+10=29⇒n( only B)=n(B)−n(M∩B)=29−10=19
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