Question

Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute

. Also 35 play Piano and Guitar, 40 play Guitar and Flute and 25 play Piano and Flute. 15
play all, Piano, Guitar and flute.
Draw a Venn diagram to represent this information.
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Answer 1

Explanation:

A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.

From the given information:

Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.

From the image below, we represent:

P =students that played Paino

G = students that played guitar

F = students that played flute

P = 50

G = 68

F = 59

(PUG) -35

(PUF) = 59

(GUF) = 40

since the value of (PUGUF) is not given, we represent it with x.

See the attached image below for diagrammatic representation of the Venn diagram.