in a survey of 250 people, 180 like farming, 120 like civil service, and every people like atleast one occupation. draw a venn-diagram and find the people who like farming as well as civil service. and also find how many people only like civil service.
Answers
Step-by-step explanation:
as we know
AUB = N(A) + N(B) - N(A intersection B)
= 180+120-250
= 50
Concept
Venn diagram is a diagram that is used to show the relationship between two or more groups.
Given
in a survey conducted of 250 people, 180 like farming, 120 like civil service
Find
we need to find the people who like farming as well as civil service and also only civil service.
Solution
We have
Total number of people = 250
⇒ a + b + c = 250 (a, b and c are as marked in the diagram)
People who like farming = 180
⇒ a + c = 180
Substituting this in previous equation,
180 + b = 250
b = 70
Now, number of people who like civil service = 120
⇒ b + c = 120
c = 120 - 70
c = 50
Thus, the number of people who like both civil service and farming are 50 and the number of people who like only civil service are 70.
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