9. A survey on a sample of persons who played at least one of the video games P, Q and R yielded the following data: 33 persons played P 40 persons played Q 36 persons played R 7 persons played P and R only 4 persons played P and Q only 12 persons played Q and R only 15 persons played Q only. (a) Use x to represent the number of persons who played all three video games. Draw a carefully labelled Venn diagram to represent the data given. (b) Determine the value of x. (c) Calculate the number of persons in the sample.
9. A survey on a sample of persons who played at least one of the video games P, Q and R yielded the following data: 33 persons played P 40 persons played Q 36 persons played R 7 persons played P and R only 4 persons played P and Q only 12 persons played Q and R only 15 persons played Q only. (a) Use x to represent the number of persons who played all three video games. Draw a carefully labelled Venn diagram to represent the data given. (b) Determine the value of x. (c) Calculate the number of persons in the sample.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Topic Video
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Can you complete a, b, and c

Transcribed Image Text:9. A survey on a sample of persons who played at
least one of the video games P, Q and R yielded
the following data:
33 persons played P
40 persons played Q
36 persons played R
7 persons played P and R only
4 persons played P and Q only
12 persons played Q and R only
15 persons played Q only.
1
(a) Use x to represent the number of persons who
played all three video games. Draw a carefully
labelled Venn diagram to represent the data given.
(b) Determine the value of x.
(c) Calculate the number of persons in the sample.
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