100 college students were surveyed, and it was found out that all of them have visited at least one of the following three cities: Manila (M), Pasig (P), and Quezon (Q). 53 of the students visited Manila. 52 of the students visited Pasig. 65 of the students visited Quezon. 19 of the students visited Manila and Pasig. 31 of the students visited Manila and Quezon. 28 of the students visited Pasig and Quezon. 38 of the students visited exactly one of the following cities: Manila, Pasig, and Quezon.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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100 college students were surveyed, and it was found out that all of them have visited at least one of the
following three cities: Manila (M), Pasig (P), and Quezon (Q).
53 of the students visited Manila.
52 of the students visited Pasig.
65 of the students visited Quezon.
19 of the students visited Manila and Pasig.
31 of the students visited Manila and Quezon.
28 of the students visited Pasig and Quezon.
38 of the students visited exactly one of the following cities: Manila, Pasig, and Quezon.
Transcribed Image Text:100 college students were surveyed, and it was found out that all of them have visited at least one of the following three cities: Manila (M), Pasig (P), and Quezon (Q). 53 of the students visited Manila. 52 of the students visited Pasig. 65 of the students visited Quezon. 19 of the students visited Manila and Pasig. 31 of the students visited Manila and Quezon. 28 of the students visited Pasig and Quezon. 38 of the students visited exactly one of the following cities: Manila, Pasig, and Quezon.
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