N(H) = students who like to play hockey = 53% N(F) = students who like to play football = 49% The percentage of students who like to play at least two games.The percentage of students who like to play only one game.Find the ratio of the percentage of students who like to play only football for those who like to play only hockey.The percentage of students who like to play all the games?.On the basis of the above data, answer the following questions. 5% of students do not like to play any game.29% of students liked to play both football and basketball.29% of students liked to play both basketball and hockey.27% of students liked to play both football and hockey.62% of students liked to play basketball.49% of students liked to play football.Number of employees who like at least one of tea or green tea = n (only Tea) + n (only green tea) + n (both Tea & green tea) = 60 + 40 + 80 = 180Įxample 2: In a survey of 500 students of a school, the team observed that:.Number of employees who like only one of tea or green tea = 60 + 40 = 100.Number of employees who like neither tea nor green tea = 20.Number of employees who like only green tea = 40.Number of employees who like only tea = 60.Solution: we can represent the given information by the following Venn diagram, where T denotes the tea, and G denotes the Green tea. The number of employees likes at least one of the beverages?.The number of employees likes only one of tea or green tea?.The number of employees likes neither tea nor green tea?.The number of employees likes only green tea?.The number of employees likes only tea?.On the basis of the data given in the question-answer, the following questions. Out of 200 employees, 140 like tea, 120 like green tea, and 80 like both tea and green tea. Let's solve some examples based on the Venn diagram.Įxample 1: In an office, 200 employees are randomly selected for a survey. Objects belong to set A and set B and set C.Ī set that is not contained in another set.Ī set that is contained in or equal to another set. Objects belong to set A or set B or set C. When a four-set diagram that uses circles will also be a Euler diagram, the circle would not show the union between every pair of sets.īefore moving to example, let's have a quick view of the symbols used in set theory. We also use a three-set diagram with a curve to represent the four-set diagram. It is the only option to represent the four-set diagram. The oval shape ensures that all sets overlap each other. The above diagram is not a Venn diagram because two sets do not overlap (Black Things & light-pink Things) each other.įour-Set Diagram: We use an oval shape to represent the four-set diagram because the circle no longer overlaps each other. In the following diagram, the pink things set may contain a set of light-pink things. The three-set Euler diagram can have a nested set. ![]() We can represent it in the Venn diagram, as follows. ![]() All the elements of a set enclose in the pair of curly braces. A set is denoted by the capital letter and the elements of the set are denoted by the lowercase letters. It may contain digits, vowels, animals, prime numbers, etc. Before moving to the Venn diagram, let's have a quick view of the set.Ī set is a collection or group of things. In this section, we will learn that what is the Venn diagram, its types, purpose, uses, representation of it with proper example. He represented the relationship between different groups of things in the pictorial form that is known as a Venn diagram. In mathematics, the Venn diagram is a diagram that represents the relationship between two or more sets.
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