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In a survey, 200 consumers were asked about their buying preferences concerning

ID: 3151514 • Letter: I

Question

In a survey, 200 consumers were asked about their buying preferences concerning a product that is sold in the market under three labels. The results were as follows.

10 buy only those sold under label A.
24 buy only those sold under label B.
25 buy only those sold under label C.
15 buy only those sold under labels A and B.
9 buy only those sold under labels A and C.
15 buy only those sold under labels B and C.
10 buy the product sold under all three labels.

How many of the consumers surveyed buy the product sold under

(a) At least one of the three labels?

(b) Labels A and B but not C?

(c) Label A?

(d) None of these labels?

Explanation / Answer

a. Atleast one of the three labels means total of all = 10+24+25+15+9+15+10=108

b. Labels A and B but not C means only those which contains either A or B=10+24+15=49

c. Labels A= contains A=10+15+9+10=44

d. None of these lables = n- total=200-108=92

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