Introduction to Venn diagram problem solution:
In set theory, the concept of Venn diagram is an essential part of set. The Venn diagram show all theoretically like rational relations among limited groups of sets. These are used for solving the set problems in use of diagrams. Another name of Venn diagram is known as set diagram. Solving the set problems with use of Venn diagram is very easy. We will see few problems on Venn diagram with solutions.
Example Problems:
Problem 1:
In a class of 64 students, 26 students participating in Chess, 35 participating in Tennis, and 8 take both Chess and Tennis. Find how many students in the class are not participating in either Chess or Tennis with use of venn diagram?
Solution:
Given, Total number of students in class = 64
Number of students participating in Chess = 26
Number of students participating in Tennis = 35
Number of students participating in both Chess and Tennis = 8
The venn diagram for these information is,
Here, a = Number of students not participating in either Chess or Tennis.
That is, 18 + 8 + 27 + a = 64
53 + a = 64
a = 64 - 53
a = 11
Therefore, the number of students not participating in either Chess or Tennis is 11 students.Understanding differential calculus is always challenging for me but thanks to all math help websites to help me out.
Problem 2:
There are 70 houses in a city. In that, 48 houses have Washing machine and 32 houses have Refrigerator. Find how many numbers of houses have both Washing machine and Refrigerator with use of venn diagram?
Solution:
Let W = {Number of houses having Washing machine}
R = {Number of houses having Refrigerator}
WnR = {Number of houses having both Washing machine and Refrigerator}
Consider, n(WnR) = a
Therefore, Number of houses having both Washing machine and Refrigerator is,
48 - a + a + 32 - a = 70
80 - a = 70
-a = 70 - 80
-a = -10
a = 10
Answer: Number of houses having both Washing machine and Refrigerator = 10 houses.
These are all few example problems of using venn diagram with solution.
In set theory, the concept of Venn diagram is an essential part of set. The Venn diagram show all theoretically like rational relations among limited groups of sets. These are used for solving the set problems in use of diagrams. Another name of Venn diagram is known as set diagram. Solving the set problems with use of Venn diagram is very easy. We will see few problems on Venn diagram with solutions.
Example Problems:
Problem 1:
In a class of 64 students, 26 students participating in Chess, 35 participating in Tennis, and 8 take both Chess and Tennis. Find how many students in the class are not participating in either Chess or Tennis with use of venn diagram?
Solution:
Given, Total number of students in class = 64
Number of students participating in Chess = 26
Number of students participating in Tennis = 35
Number of students participating in both Chess and Tennis = 8
The venn diagram for these information is,
Here, a = Number of students not participating in either Chess or Tennis.
That is, 18 + 8 + 27 + a = 64
53 + a = 64
a = 64 - 53
a = 11
Therefore, the number of students not participating in either Chess or Tennis is 11 students.Understanding differential calculus is always challenging for me but thanks to all math help websites to help me out.
Problem 2:
There are 70 houses in a city. In that, 48 houses have Washing machine and 32 houses have Refrigerator. Find how many numbers of houses have both Washing machine and Refrigerator with use of venn diagram?
Solution:
Let W = {Number of houses having Washing machine}
R = {Number of houses having Refrigerator}
WnR = {Number of houses having both Washing machine and Refrigerator}
Consider, n(WnR) = a
Therefore, Number of houses having both Washing machine and Refrigerator is,
48 - a + a + 32 - a = 70
80 - a = 70
-a = 70 - 80
-a = -10
a = 10
Answer: Number of houses having both Washing machine and Refrigerator = 10 houses.
These are all few example problems of using venn diagram with solution.
