Question

There are 60 student studying sciences[biology, chemistry or physics]

7 students study biology, chemistry and physics
15 students study biology and physics
20 students study chemistry and physics
35 students study biology
32 students study physics

Answer 1

To find the number of students studying only biology, only chemistry, only physics, and all three subjects, we can use the principle of inclusion-exclusion. By subtracting the number of students studying combinations of subjects from the total number of students in each subject, we can calculate the desired values.

Step-by-step explanation:

In this question, we are given information about the number of students studying biology, chemistry, and physics, as well as the number of students studying combinations of these subjects. The aim is to find the number of students studying only biology, only chemistry, only physics, and those studying all three subjects.

To solve this problem, we can use the principle of inclusion-exclusion. We start by summing the number of students in each subject: 7 (biology) + 20 (chemistry) + 32 (physics) = 59. However, this counts the students who study multiple subjects more than once. To correct for this, we subtract the number of students studying combinations of subjects: 15 (biology and physics) + 20 (chemistry and physics) + 7 (biology, chemistry, and physics) = 42. So, the number of students studying only biology is 7 - 15 = - and the number of students studying only chemistry is 20 - 15 = . Finally, the number of students studying all three subjects is 7.

Answer 2

1. 4 students studied physics only

2. 20 student studied Biology only

3. 8 student studied chemistry only

There are total of 60 science student.

7 student studied the three subjects

15 students study biology and physics

20 students study chemistry and physics

35 students study biology

32 students study physics

1. This means that

number of physics student = 32

therefore, number of physics only = 32 - (7 + ( 15-7)+ 20-7)

= 32 - (7+8+13)

= 32 - 28

= 4 students

2. The number of student that studied Biology only = 35

therefore biology only = 35 - 15

= 20 students

3. The number of students that studied chemistry only

= 60 -(20+ 4 + 7 + 8+13)

= 60 - 52

= 8 students

Questions

there are 60 student studying sciences[biology, chemistry or physics]

7 students study biology, chemistry and physics

15 students study biology and physics

20 students study chemistry and physics

35 students study biology32 students study physics

1. How many studied physics only

2. How many studied Biology only

3. How many studied chemistry only