In a class of47 student ,31 study physics ,26 study chemistry and 16 study Biology . 3study all the three subjects, 2 study chemistry and biology only and 6study Biology only . Find

1. Chemistry only
2. Only one subject
3. Only two subjects

1 answer

To find the number of students studying chemistry only, we need to subtract the number of students studying all three subjects and the number of students studying chemistry and biology only from the total number of students studying chemistry.

Number of students studying chemistry only = Total number of students studying chemistry - Number of students studying all three subjects - Number of students studying chemistry and biology only
= 26 - 3 - 2
= 21

To find the number of students studying only one subject, we need to sum the number of students studying physics only, chemistry only, and biology only.

Number of students studying only one subject = Number of students studying physics only + Number of students studying chemistry only + Number of students studying biology only
= (31 - 3) + 21 + (16 - 3 + 2 + 6)
= 28 + 21 + 21
= 70

To find the number of students studying only two subjects, we need to subtract the number of students studying all three subjects and the number of students studying only one subject from the total number of students.

Number of students studying only two subjects = Total number of students - Number of students studying all three subjects - Number of students studying only one subject
= 47 - 3 - 70
= 47 - 73
= -26

Note: The result is negative because it is not possible for the number of students studying only two subjects to be negative. This means that there might be an error in the given information or calculations.