A company analyzed customer preferences for three product features: Feature X, Feature Y and Feature Z. The Venn diagram shows that 12 customers want X only, 8 want Y only, 6 want Z only, 5 want X and Y only, 4 want Y and Z only, 3 want X and Z only, and 2 want all three features. What is n(X ∪ Y ∪ Z)?

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Question

A company analyzed customer preferences for three product features: Feature X, Feature Y and Feature Z. The Venn diagram shows that 12 customers want X only, 8 want Y only, 6 want Z only, 5 want X and Y only, 4 want Y and Z only, 3 want X and Z only, and 2 want all three features. What is n(X ∪ Y ∪ Z)?

Accepted Answer

40 — Award 1 mark for correct answer. n(X ∪ Y ∪ Z) = sum of all regions = 12 + 8 + 6 + 5 + 4 + 3 + 2 = 40. A miscounts by omitting one region. C adds an extra element incorrectly. D doubles one of the regions.

Answer

42

Answer

44

Answer

40

Answer

38

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