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Q.

Each students in a class of 40, studies at least one of the subjects English, Mathematics and Economics. 16 study English, 22 Economics and 26 Mathematics, 5 study English and Economics, 14 Mathematics and Economics and 2 study all the three subjects. The number of students who study English and Mathematics but not Economics is

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a

7

b

10

c

4

d

5

answer is B.

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Detailed Solution

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Number of  students in the class n(S)=40 n(En)=16,n(Ec)=22, n(M)=26, n(En∩Ec)=5,n(M∩Ec)=14,n(M∩En∩Ec)=2. 40=16+22+26-5-n(M∩En)-14+2⇒n(M∩En)=7

n(En∩M∩Ec¯)=5

 

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