6. A sample poll of 200 voters revealed the following information concerning three concerning three candidates A, B, and C of a certain party who were running for three different offices. 28 in favor of both A and B 98 in favor of A or B, but not C 42 in favor of B, but not A or C 122 in favor of B or C, but not A 64 in favor of C, but not A or B 14 in favor of A and C, but not B How many voters were in favor of a) all three candidates b) A irrespective of B or C c) B irrespective of A or C d) C irrespective of A or B e) A and B, but not C f) only one of the candidates

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6. A sample poll of 200 voters revealed the following information concerning three concerning three
candidates A, B, and C of a certain party who were running for three different offices.
28 in favor of both A and B
98 in favor of A or B, but not C
42 in favor of B, but not A or C
122 in favor of B or C, but not A
64 in favor of C, but not A or B
14 in favor of A and C, but not B
How many voters were in favor of:
a) all three candidates
b) A irrespective of B or C
c) Birrespective of A or C
d) C irrespective of A or B
e) A and B, but not C
f) only one of the candidates
Transcribed Image Text:6. A sample poll of 200 voters revealed the following information concerning three concerning three candidates A, B, and C of a certain party who were running for three different offices. 28 in favor of both A and B 98 in favor of A or B, but not C 42 in favor of B, but not A or C 122 in favor of B or C, but not A 64 in favor of C, but not A or B 14 in favor of A and C, but not B How many voters were in favor of: a) all three candidates b) A irrespective of B or C c) Birrespective of A or C d) C irrespective of A or B e) A and B, but not C f) only one of the candidates
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