Question

Out of 150 students 75 failed in maths and 45 failed in English .if 18 failed in both maths and English .how many have passed in both English and Math

Answer 1

Answer: The answer is 48 students.

Step-by-step explanation: Given that there are total 150 students in a class, out of which 75 students failed in Maths, 45 students failed in English and 18 students failed in both the subjects.

Let 'A' be the set of students who failed in Maths and 'B' be the set of students who failed in English. Then,

$n(A)=75,~~n(B)=45,~~n(A\cap B)=18.$

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=75+45-18=102.$

That is, 102 students failed in Maths or English. So, the number of students who passed in both the subjects = 150 - 102 = 48.

Thus, the answer is 48 students.

Answer 2

Answer:

The answer is 48 students.

Step-by-step explanation: Given that there are total 150 students in a class, out of which 75 students failed in Maths, 45 students failed in English and 18 students failed in both the subjects.

Let 'A' be the set of students who failed in Maths and 'B' be the set of students who failed in English. Then,

From set theory, we have

That is, 102 students failed in Maths or English. So, the number of students who passed in both the subjects = 150 - 102 = 48.

Thus, the answer is 48 students.

Step-by-step explanation: