# Triple Venn Diagram Template

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Sets and relations is a topic in math which deals with the logical relationship which can be inferred from the sets. The sets can be represented through a diagram which clearly explains the relationship of one set to another set, and this diagram is known as the Venn diagram. It is a pictorial representation of sets and in these diagrams; sets are usually represented by circles overlapping, or placed separately from each other accordingly. A Venn diagram consisting of three sets put together is known as a Triple Venn diagram.

Example 1: From the Triple Venn diagram shown below of three sets A, B and C, find (i) A intersection B, (ii) A intersection B intersection C.

(i)  In order to find A intersection B, we have to look at the elements common in both the sets A and B->A ∩ B = {4, 7, 10).

(ii) In order to find the intersection of all the three sets, we have to look at the region which is common to all the three sets, A, B and C
A ∩ B ∩ C = {10}.

Example 2: From the Triple Venn diagram shown below of three sets A, B and C, find (i) B intersection C, (ii) A union B.

(i) In order to find B intersection C, we have to look at the elements common in both the sets B and C ->B ∩ C = {c, f, g).

(ii) In order to find the union of sets A and B, we have to consider all the elements present in A or B.
A U B= {a, p, b, d, c, e, m, k, f, g}.