Question

In a class of 25 students, 12 students have taken Economics; 8 have taken Economics but not Maths Find (1) the no. of students have taken Economics and Maths. (2) those who have taken Maths but not Economics.

Answer 1

given,

12 students have taken economics but 8 students taken economics but not maths.

so 12-8= 4 students have taken both economics and maths.

and 25-12= 13 students have taken maths but not economics.

Answer 2

Answer: 1) 4

2) 13

Step-by-step explanation:

Total number of students in a class n(A∪B)= 25

Economics students n(A)= 12

Number of students take economics but not mathematics = 8

1) Number of students take economics and mathematics  n(A∩B)= 12-8 = 4

Now

2) n(A∪B) = n(A)+n(B)-n(A∩B)

25= 12+n(B)- 4

n(B)= 17

now number of students taken maths but not economics = 17-4= 13

Hence, 1) number of students have taken maths and economics = 4

2) number of students taken maths but not economics= 13