Example 1:ġ00 people were asked which pets they have. Numbers are placed in each region representing each statement. Venn diagrams are particularly useful for solving word problems in which a list of information is given about different categories. Finally, use any known totals to find missing numbers. 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. Then enter the remaining number of items in. These 20 students are shown by the shaded circle below. To solve a Venn diagram with 3 circles, start by entering the number of items in common to all three sets of data. 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 Click on the images to modify them online. Creately offers quite a few 3 set Venn diagram templates with 3 circles.Below are some of them.
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. 3 set Venn diagrams are frequently used in classrooms, which is why they are one of the most sought-after templates when it comes to Venn diagrams. 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. Write the number of items belonging to all three sets in the central overlapping region.Make a Venn Diagram for the following situation:ģ0 students were asked which sports they play. Write the remaining number of items belonging to each individual set in the non-overlapping region of each circle.Write the remaining number of items belonging each pair of the sets in their overlapping regions.
Write the number of items belonging to all three sets in the central overlapping region.If you are given the union or intersection of any two sets, you can use deMorgan's Law to write it as the complement of a quantity.How to Make a Venn Diagram with 3 Circles To make a Venn diagram with 3 circles:
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