Question

In a class of 60 students, 15 are members of debating club (D), 30 are members of Math club (M) and 20 are members of Science club (S). 3 are members of debating and Math club only. 4 are members of Math club and science club only while 1 is a member of debating and Science club only. 5 are members of all the three clubs. How many didn’t like Math club?

Answer 1

Answer:

3 are members of debating and math club only

Answer 2

The students that didn't like Math club = 30

Step-by-step explanation:

Set of students in debating club n(D) = 15

Set of students in Math club n(M) = 30

Set of students in science club n(S) = 20

n(D∩M) = 3

n(M∩S) = 4

n(D∩S) = 1

n(D∩M∩S) = 5

And n(D∪M∪S) = 60

We need to find

How many didn't like Math club

i.e. n(D∪M∪S) - n(M)

= 60 - 30

= 30

Hope this answer is helpful.

Know More:

Q: In a class of 25 students, 12 students have taken Economics; 8 have taken Economics but not Maths Find (1) the no. of students have taken Economics and Maths. (2) those who have taken Maths but not Economics.

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