# Printable Venn Diagram With Lines

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Venn diagram is a diagram representation or pictorial representation of a given logical data or set of information to solve different kinds of problems. Venn diagram is a very useful method to solve logical problems in math. Venn diagram gives a detailed understanding and pictorial explanation to solve a given question. Venn diagram’s make solving some difficult problems trivial and more efficient.

Example 1: 10 students in a class are taking English and 15 students in the class are taking Physics. Find the number of students in the class taking Physics classes only.

Solution: Number of students taking English classes = 10.

Number of students taking Physics classes = 15.

Number of students taking both the classes = 5.

Using the Venn diagram below:

Number of students taking physics only = 15-5 = 10.

Hence 10 students in the class are taking physics only.

Example 2: There are 25 students in a class. 10 students like playing football and 12 students in the class like to play baseball. If 2 students like to play both the games. Find the number of students in the class who do not play any sport.

Solution: Number of students in the class = 25.

Number of students who play football = 10.

Number of students who play baseball = 12.

Number of student who play both the games = 2

Using the Venn diagram below:

Number of students who do not play any of the games = 25-(8 + 2 + 10) = 25 - 20

Therefore, 5 students do not play both the games.