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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