Question

Out of 1oo students appeared an examen

lation an Heartland Academy, 60 students
passed an mathematics, 50 en science and
2o in the both of these subjects How
of the them failed an both subjects?
showthe information an venn-deagram
many​

Answer 1

10 students

Explanation:

I've drawn a venn diagram to explain the distribution in this question and attached it.

From the venn diagram, we can see that;

(M) = 60

(S) = 50

(M ∩ S) = 20

Now, to find how many of them failed both subjects, we will use the formula;

100 = (M' ∩ S') + (M) + (S) - (M ∩ S)

Where (M' ∩ S') is number of people that failed both subjects

Plugging in the relevant values we have;

100 = (M' ∩ S') + 60 + 50 - 20

100 = (M' ∩ S') + 90

(M' ∩ S') = 100 - 90

(M' ∩ S') = 10