Question

Out of 50 students in a class, 36 passed in Science, 25 passed in Mathematics, and 22 passed in both Science and Mathematics. How many students failed in both the subjects​

Answer 1

Answer:

Let M= The set of students passed in Mathematics

S= The set of students passed in Science

Then, n(S)=28,n(M∩S)=10,n(M∪S)=50

We have n(M∪S)=n(M)+n(S)−n(M∩S)

50=n(M)+28−10

⇒n(M)=32

Aliter

From the Venn diagram

x+10+18=50

x=50−28=22

Number of students passed in Mathematics =x+10=22+10=32

Answer 2

Answer:

8 students in english and 6 students in hindi