Question

In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. Draw a Venn diagram and state how many students:
Passed science but not mathematics Failed science Passed mathematics Failed both subjects

Answer 1

ANSWER

Heyaa♡♡

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

50=n(M)+18

⇒n(M)=32

Aliter

From the Venn diagram

x+10+18=50

x=50−28

x=22

Number of students passed in Mathematics =

x+10=22+10=32

Hope it helped you.

Answer 2

Answer:

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