Question

In a class of 25 students, 12 have taken mathematics, 8 have taken mathematics but not biology. If each student has taken either mathematics or biology or both then the number of students who have taken both the subjects is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The number of students who have taken both the subjects is 4.

Step-by-step explanation:

Given : In a class of 25 students, 12 have taken mathematics, 8 have taken mathematics but not biology. If each student has taken either mathematics or biology or both.

To find : The number of students who have taken both the subjects?

Solution :

Total number of students = 25.

Let M be student taken math

Let B be student taken biology

According to question,

$n(M\cup B)=25$

$n(M)=12$

$n(M-B)=8$

The number of students who have taken both the subjects is

$n(M\cap B)=n(M)-n(M-B)$

$n(M\cap B)=12-8$

$n(M\cap B)=4$

Therefore, The number of students who have taken both the subjects is 4.