Question

In a survey of 300 house wires. It was discovered

Answer 1

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.