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In a school, on the Republic day, three dramas A, B and C are performed on the dais. In a group of people, who attended the function and who like at least one of the three dramas, 16 people like A, 20 people like B, 15 people like C, 4 people like both A and B, 3 people like both A and C, 3 people like both B and C and 2 people like all the three. Then how many people like at most two?

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answer is 41.

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Detailed Solution

(i) Use Venn diagrams.
(ii) Given data can be expressed as follows:

(iii) Number of people who like at most two dramas = Number of people who like only
one drama + Number of people who like only
two of the dramas.

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