Enter the remaining number of items in each individual set. Then enter the remaining number of items in the overlapping region of each pair of sets. To solve a Venn diagram with 3 circles, start by entering the number of items in common to all three sets of data.
#SHADING VENN DIAGRAMS WITH 3 SETS HOW TO#
How to Solve a Venn Diagram with 3 Circles Since there are 30 students who were asked in total, a further 2 students must play none of these three sports. The values in each circle sum to 28 students. There are already 3, 7 and 2 students in the overlapping regions, making a total of 12 students.Ī further 3 students are required to make the total of 15 students in this circle.ģ students play tennis but not basketball or football. 3 students play only football and not basketball and tennis.įinally, there are 15 students who play tennis shown by the shaded region below. This makes a total of 13 students so far.ģ more students are required to make the circle total up to 16. There are already 4, 7 and 2 students in the overlapping regions. We need a further 6 students who only play basketball in order for the numbers in this circle to make a total of 20. We already have 3, 7 and 4 students in the overlapping regions. These 20 students are shown by the shaded circle below. There are those that play basketball, football and tennis.Ģ0 students play basketball in total. There are three individual sets which are represented by the three circles. Write the remaining number of items belonging to each individual set in the non-overlapping region of each circle There are already 7 students who play all three sports and so, a further 2 students must play both football and tennis but not basketball in order to make the total in this shaded region add up to 9 students. The overlapping region of the football and tennis circles is shown below. There are 9 students in total that play both. The next overlapping region of two circles is those that play football and tennis. There are already 7 students who play all three sports and so, a further 4 students must play both basketball and football but not tennis in order to make the total in this shaded region add up to 11 students. The overlapping region of the basketball and football circles is shown below. There are 11 students in total that play both. The next overlapping region of two circles is those that play basketball and football. Therefore we only need 3 more students who play basketball and tennis but do not play football to make the total of this region add up to 10. We already have the 7 students that play all three sports in this region. The overlapping region of these two circles is shown below. There are 10 students that play both basketball and tennis.
There is the overlap of basketball and tennis, basketball and football and then tennis and football.
There are 3 regions in which exactly two circles overlap. Write the remaining number of items belonging each pair of the sets in their overlapping regions The shaded region shown is the overlapping area of all three circles.Ģ. The number 7 is placed in the overlap of all 3 circles. In this example, we start with the students that play all three sports. When making a Venn diagram, it is important to complete any overlapping regions first.
#SHADING VENN DIAGRAMS WITH 3 SETS PDF#
These math worksheets should be practiced regularly and are free to download in PDF formats.How to Make a Venn Diagram with 3 Circles To make a Venn diagram with 3 circles: Students would be able to clear their concepts by solving these questions on their own and clear their school exams as well as competitive exams like Olympiads and represent complex data easily. Benefits of Venn Diagram WorksheetsĬuemath experts have developed a set of Venn diagram worksheets that contain many solved examples as well as questions. Venn diagrams become useful when you need to represent two or more parameters in a given data. It helps people to understand complex data easily. Venn Diagrams are often used to represent a set of data that may or may not be mutually exclusive. It is one of the most fundamental concepts which one needs to understand in order to understand set theory in depth. Venn diagrams are one of the most important concepts in the field of mathematics.
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