Use the following information to determine the number of people in each region o

Question

Use the following information to determine the number of people in each region of the Venn Diagram

Use the following information to determine the number of people in each region of the Venn Diagram 224 people were asked which of these instruments that they could play: Piano, Drums, or Guitar. 44 people could play none of these instruments. 25 people could play all three of these instruments. 49 people could play drums or guitar but could not play piano. 109 people could play guitar. 103 people could play at least two of these instruments. 44 people could play piano and guitar but could not play drums. 43 people could play piano and drums.I

Explanation / Answer

HERE H IS THE UNIVERSAL SET

THEREFORE H = TOTAL POPULATION = 224

E DENOTES THE INTERSECTION OF ALL THREE WHICH MEANS THE PERSON PLAYS ALL THREE = 25

TOTAL GUITAR PLAYED = 109

THERFORE A = 109 - B -D -E

D = THOSE WHO PLAY DRUM AND GUITOR = 49 - E = 49-25 = 24

B = THOSE WHO PLAY GUITAR AND PIANO = 44 - E = 44-25 = 19

HENCE A = 109 - 24-19-25 = 41

F = THOSE WHO PLAY PIANO AND DRUM = 43-E = 43-25 = 18

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