<PRE><B>Question 478180</B>
6. In a sample of 100 people 20 persons read news Paper A, 
45 read News paper B, 16 persons do not read anything. 
How many persons read
a)Both A and B::::15 
b)At least one Paper:::84 
c)Only one News paper:::5 + 30 = 35
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Draw a Venn diagram of 2 intersecting circles labeled A and B.
Draw a rectangle around the circles.
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Rectangle contains 100 people
Circle A has 20 people
Circle B has 45 people 
16 people are in the rectangle but not in either circle.
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So 100-16 = 84 people are somewhere in the circles.
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#(A and B) = #(A) + #(B) - #(A or B)
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#(A and B) = 20 + 45 - 84 = -15
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15 are in the intersection of A and B
So 5 are in A but not in the intersection.
30 are in B but not in the intersection
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Cheers,
Stan H.

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