Trying to solve a venn diagram word question

User Generated

N.Q. Fzvgu

Mathematics

Description

During a survey of a group of 100 consumers 25 had bough a VW, 33 had bough a truck, 15 had bough a Porsche, 20 had bough VW &truck, 6 had bough VW & Porsche, 10 had truck & Porsche, 2 had all 3.

How many consumers had bought none of these vehicles?

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Explanation & Answer

N =100

n(V) =25

n(T) =33

n(P) =15

n(VT) =20

n(VP) =6

n(TP) =10

n(VTP) =2

n(V’ T’ P’)   = N-n(V)-n(T)-n(P)+n(VT)+n(VP)+n(TP) –n(VTP)

    = 100-(25+33+15)+(20+6+10)-2

  =100-73+36-2 =61



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