Question

Out of 100 students 50 failed in english and 30 in mathematics if 12 students fail in both english and mathematics then the number of students who passed in both the subject is

Answer 1

Answer:

Number of those who pass in both = 32

Step-by-step explanation:

Hey Mate,

Let A = Set of students who fail in English  

B = Set of students who fair in mathematics  

Then ,

n(A) = 50,

n(B) = 30 and

n(A∩ B) = 12.  

n(AUB) = n(A) + n(B)- n(A∩B) = (50 + 30 -12) = 68  

Number of students who fail in one or both the students = 68  

Number of those who pass in both = (100 - 68) = 32