Question

Discrete Mathematics 100 people are surveyed and asked if they like candidate A or candidate B...

Discrete Mathematics

100 people are surveyed and asked if they like candidate A or candidate B or candidate C. People are allowed to like more than one candidate and they are allowed to like no candidates. The results include the following:

34 people like candidate A

44 people like candidate B

48 people like candidate C

7 people like candidates both A and B

12 people like candidates both A and C

17 people like candidates both B and C  

5 people like candidates all three A and B and C

How many of the people surveyed like NONE of the candidates?

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Answer #1

Solution:

Given

Now, By using

we have

Hence, the people surveyed like None of the candidates are given by

Which are the number of peoples who line none of the candidates.

This complete the solution.

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