## Venn Diagram Word Problems with 3 Circles

Venn diagram problems and solutions: Here, we are going to see, how to solve word problems using Venn diagram. In set language, we can solve many word problems using Venn diagrams and the two formulas given below. Formula 1: n(A u B) = n(A) + n(B) - n(A n B) If A and B are disjoint sets, n(A n B) = 0. Then, n(A u B) = n(A) + n(B) Formula 2. Venn diagram word problems generally give you two or three classifications and a bunch of numbers. You then have to use the given information to populate the diagram and figure out the remaining information. For instance: Out of forty students, 14 are taking English Composition and . Time and work word problems. Word problems on sets and venn diagrams. Word problems on ages. Pythagorean theorem word problems. Percent of a number word problems. Word problems on constant speed. Word problems on average speed Word problems on sum of the angles of a triangle is degree. OTHER TOPICS Profit and loss shortcuts. Percentage shortcuts.

## Venn diagram problems and solutions

Venn Diagram Word Problems with 3 Circles :. In this section, we will learn, how to solve word problems using venn diagram with 3 circles. Let us consider the three sets A, B and C. Set A contains a elements, B contains b elements and C contains c elements. We can use Venn diagram with 3 circles to represent the above information as shown below. We can get the following results from the Venn diagram shown above. Number of elements related only to A is. Number of elements related only to B is.

Number of elements related only to C is. Number of elements related to all the three sets A, B and C is. In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry22 had taken chemistry and physics course, and 14 had taken all the three courses.

Find how many had taken one course how to solve venn diagram problems. Solution :. Step 1 :. Venn diagram related to the information given in the question:. From the venn diagram above, we have.

Total no. So, the total number of students who had taken only one course is Example 2 :. In a group of students, how to solve venn diagram problems, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three games.

Let F, H and C represent the games football, hockey and cricket respectively. Venn diagram related to the information given in the question :.

Hence, the total number of students in the group is In a college, 60 students enrolled in chemistry,40 in physics, 30 in biology, 15 in chemistry and physics,10 in physics and biology, 5 in biology and chemistry. No one enrolled in all the three. Find how many are enrolled in at least one of the subjects. Let x be the percentage of people who speak all the three languages. From the above Venn diagram, we can have. Example 5 :. An advertising agency finds that, of its clients, use Television, use Radio and use Magazines.

Draw Venn diagram to represent these data. From the above Venn diagram, we have. After having gone through the stuff given above, we hope that the students would have understood, " Venn Diagram Word Problems with 3 Circles". You can also visit our following web pages on different stuff in math.

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### Venn Diagrams: Exercises | Purplemath Venn diagram word problems generally give you two or three classifications and a bunch of numbers. You then have to use the given information to populate the diagram and figure out the remaining information. For instance: Out of forty students, 14 are taking English Composition and . Venn diagram problems and solutions: Here, we are going to see, how to solve word problems using Venn diagram. In set language, we can solve many word problems using Venn diagrams and the two formulas given below. Formula 1: n(A u B) = n(A) + n(B) - n(A n B) If A and B are disjoint sets, n(A n B) = 0. Then, n(A u B) = n(A) + n(B) Formula 2. Time and work word problems. Word problems on sets and venn diagrams. Word problems on ages. Pythagorean theorem word problems. Percent of a number word problems. Word problems on constant speed. Word problems on average speed Word problems on sum of the angles of a triangle is degree. OTHER TOPICS Profit and loss shortcuts. Percentage shortcuts.