Question

1. In a class of 25 students, 12 students have been taken Economics; 8 have taken Economics but not Mathematics. Find (I) the number of students who have taken Economics and Mathematics (ii) those who have taken Mathematics but not Economics.

Answer 1

Answer:

12 students have taken economics but 8 students taken economics but not maths. so 12-8= 4 students have taken both economics and maths.

Answer 2

n(E u M) = 25

n(E) = 12

n(E)-n(EnM) = 8

i)n(EnM) = 12-8 =4

ii)n(EuM) = n(E) + n(M) - n(EnM)

maths but not economics = n(M)-n(EnM)

= n(EuM)-n(E)

= 25 - 12 = 13