In a village out of 200 people it was found that 55 people are infected from Malaria, 72 people are infected from Dengue and 80 people are infected from Typhoid. 20 people are infected from Malaria and Typhoid, 30 people are infected from Malaria and Dengue, 35 people are infected from Dengue and Typhoid and 11 are infected from all of these. Find the number of people a) Who are infected from at least one of the three disease? b) Who are infected from exactly one of disease? c) Who are not infected from any disease?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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In a village out of 200 people it was found that 55 people are infected from Malaria, 72 people are infected from Dengue and 80 people are infected from Typhoid. 20 people are infected from Malaria and Typhoid, 30 people are infected from Malaria and Dengue, 35 people are infected from Dengue and Typhoid and 11
are infected from all of these.
Find the number of people
a) Who are infected from at least one of the three disease?
b) Who are infected from exactly one of disease?
c) Who are not infected from any disease?

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