NCERT Class 11 Mathematics Solutions: Chapter 1 –Sets Miscellaneous Exercise Part 7

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In figure union and intersection are defined.

Union and Intersection

In figure union and intersection are defined.

1. In a survey it was found that people liked product , liked product and liked product . If people liked products and , people liked products and , people liked products and and liked all the three products. Find how many liked product only.

Answer:

Let and be the set of people who like product A, product B, and product C respectively.

Accordingly,

The Venn diagram for the given problem can be drawn as

Given Venn Diagram

Given Venn diagram , n(A OR B OR C) = 8,

It can be seen that number of people who like product C only is