If there are 23 students study Economics,6 students study both government and economics and 48 students study either government or economics or both then there are 31 students study government, 17 students study economics only and 25 students are there who study government only.
Given that in a secondary school class, 23 students study Economics, 6 students study both government and economics. 48 students study either government or Economics or both.
We are required to find :
- what is the total number of students who study government?
- How many study only economics?
- How many study only government?
Suppose E represents economics students and G students government students. In this way:
E=23
G∩E=6 (And represents intersection between sets)
G∪E=48 (Or represents union of sets)
G∪E=G+E-G∩E
48=G+23-6
G=48-17
G=31
Economics only=E-G∩E
=23-6
=17
Governments only=G-G∩E
=31-6
=25
Hence if there are 23 students study Economics,6 students study both government and economics and 48 students study either government or economics or both then there are 31 students study government, 17 students study economics only and 25 students are there who study government only.
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