Set is a collection of well defined distinct objects. Like a various sorts things are stored in one single thing.
If two sets are A and B, set (A union B) represents a set where all the elements of set A and B are present. If A={1,2,3}, B={2,3,4,5,6,7} then (A U B )={1,2,3,4,5,6,7}
If two sets are A and B, set (A intersection B) represents a set where only the common elements of both A and B are present. If A ={1,2,3}, B= {2,3,4,5,6,7} then (A B ) = {2,3}.
n(A U B)=n(A)+n(B)-n(A B ) where n(set)= number of elements in a set, it is a very important formula to keep in mind.
In a class of 50 students, 18 take math, 26 take economics, and 2 take both math and economics. How many students in the class are not enrolled in either of them ?
10
8
12
6
From the values above, we can draw a Venn diagram where
M denotes number of math students
E denotes number of economics students
the number of only math students = a
the number of only economics students = b
the number of students enrolled in either of them = c
