2. 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. a.) How many students visited only Manila? b.) How many students visited all of the following cities: Manila, Pasig, and Quezon? c.) How many students visited at most two of the following three cities: Manila, Pasig, and Quezon?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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2. 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.
a.) How many students visited only Manila?
b.) How many students visited all of the following cities: Manila, Pasig, and Quezon?
c.) How many students visited at most two of the following three cities: Manila, Pasig, and Quezon?
Venn Diagram:
Transcribed Image Text:2. 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. a.) How many students visited only Manila? b.) How many students visited all of the following cities: Manila, Pasig, and Quezon? c.) How many students visited at most two of the following three cities: Manila, Pasig, and Quezon? Venn Diagram:
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