Therefore, in this article we are going to discuss problems related to 2 and 3 variables.
Let's take a look at some basic formulas for Venn diagrams of two and three elements.
Where; X = number of elements that belong to set A only Y = number of elements that belong to set B only Z = number of elements that belong to set A and B both (AB) W = number of elements that belong to none of the sets A or B From the above figure, it is clear that n(A) = x z ; n (B) = y z ; n(A ∩ B) = z; n ( A ∪ B) = x y z.
Total number of elements = x y z w Where, W = number of elements that belong to none of the sets A, B or C Tip: Always start filling values in the Venn diagram from the innermost value.
Recommended Videos Venn Diagram Template Using Two Sets These Venn Diagram Worksheets are great templates using two sets.
Use them for practicing Venn Diagrams to solve different sets, unions, intersections, and complements.The "Venn Diagram Rules Handout Worksheet" is great for reinforcing the rules of set theory.The "Venn Diagram Templates for Two and Three Set" are great handouts for the students to use.Shade the Regions Using Two Sets Worksheet These Venn Diagram Worksheets are great for practicing shading the regions of different sets, unions, intersections, and complements using two sets.These Venn Diagram Worksheets will produce 6 Venn Diagrams for the students to shade.Word Problems Using Three Sets Worksheet These Venn Diagram Worksheets are great for working word problems of different sets, unions, intersections, and complements using three sets.Venn diagram, also known as Euler-Venn diagram is a simple representation of sets by diagrams.n ( A ∪ B) = n(A ) n ( B ) - n ( A∩ B) n (A ∪ B ∪ C) = n(A ) n ( B ) n (C) - n ( A ∩ B) - n ( B ∩ C) - n ( C ∩ A) n (A ∩ B ∩ C ) And so on, where n( A) = number of elements in set A.Once you understand the concept of Venn diagram with the help of diagrams, you don’t have to memorize these formulas.The usual depiction makes use of a rectangle as the universal set and circles for the sets under consideration.In CAT and other MBA entrance exams, questions asked from this topic involve 2 or 3 variable only.