Did you know?
Did you know that in a class of 50 students, out of which 30 students read chemistry and 26 students read English, we can determine how many students read both subjects and how many students read only chemistry? To find out, we need to use a concept called set theory. Set theory is a branch of mathematics that deals with the study of collections of objects.
To find the number of students who read both subjects, we need to find the intersection or the common elements between the set of chemistry readers and the set of English readers. In this case, 30 students read chemistry and 26 students read English. If we take the intersection of these two sets, we would find the number of students who read both subjects.
For part A of the question, the answer would be the number of students who read both subjects.
To find the number of students who read only chemistry, we need to find the elements in the set of chemistry readers that are not in the set of English readers. This is called the complement of the English readers' set with respect to the chemistry readers' set.
For part B of the question, the answer would be the number of students who read only chemistry.
These concepts of set theory help us analyze data and understand relationships between different sets of elements.