Venn Diagram. A Venn diagram represents each set by a circle, usually drawn inside of a containing box representing the universal set. Overlapping areas indicate elements common to both sets. Basic Venn diagrams can illustrate the interaction of two or three sets. We can draw a Venn diagram of these students. Drawn this way, there are more students on the Venn diagram than we have. This is because some of the students play both sports and should be in the overlap on the Venn diagram. To find the number of students in the overlap, subtract the total number of students given from the number on the diagram. John Venn, FRS, [2] [3] FSA [4] (4 August 1834 – 4 April 1923) was an English mathematician, logician and philosopher noted for introducing Venn diagrams, which are used in logic, set theory, probability, statistics, and computer science. In 1866, Venn published The Logic of Chance, a groundbreaking book which espoused the frequency theory of So we get: 3) Total = n(No Set) + n(At least one set) From (3), we get n(At least one set) = Total – n(No Set) Plugging this into (2), we then get: 4) n(At least one set) = n(A) + n(B) + n(C) – n(A and B) – n(B and C) – n(C and A) + n(A and B and C) Now let’s see how we can calculate the number of people in exactly two sets. There is Step 1: Identify the given non-empty sets and write them in set-builder form. Step 2: Identify the order of difference, i.e., if we are asked to find P – Q or Q – P. Step 3: Express the difference in mathematical form. Step 4: Strike off all the common elements present in both the given sets. Step 5: All elements left in the first set after 2 Set Venn Diagram on Good Grades. Use Creately’s easy online diagram editor to edit this diagram, collaborate with others and export results to multiple image formats. You can easily edit this template using Creately's venn diagram maker. You can export it in multiple formats like JPEG, PNG and SVG and easily add it to Word documents .

2 set venn diagram formula