Question

In a class of 50 students 35 opted for Maths, 37 opted for commerce. The number of such students who opted for both maths and commerce is
a)13
b)15
c)22
d)28

Answer 1

22 opted both maths and commerce

Answer 2

c)22

The number of  students who opted for both Math and commerce = 22.

Explanation:

Let A = Number of students opted for Math

B = Number of students opted for Commerce

Given : Total number of students in the class = 50

i.e. n(A or B) = 50

n(A)=35

n(B) =37

The number of  students who opted for both Math and commerce is will be :-

n(A and B) = n(A or B)  - n(A) -n(B)

= 50 - 35-37 =22

Hence, the number of  students who opted for both Math and commerce = 22.

Thus , the correct answer is c)22

# Learn more :

Out of 1800 students in a school, 750 opted basketball, 800 opted for cricket and remaining opted table tennis. If a student can opt for only one game, find the ratio of

(a) Number of students who opted basketball to the number of students who opted for table tennis.

(b) Number of students who opted cricket to the number of students opting basketball.

(c) Number of students who opted basketball for the total number of students.

https://brainly.in/question/5620352