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A survey of 100 candidates with respect to their choice of ice cream flavors - vanilla, chocolate and strawberry - produced the following information.  50 candidates like vanilla, 28 like chocolate, 43 like strawberry, 13 like vanilla and chocolate, 11 like chocolate and strawberry, 12 like strawberry and vanilla, and 5 like all the three flavours.  How many candidates like chocolate and strawberry but not vanilla?

A survey of 100 candidates with respect to their choice of ice cream flavors - vanilla, chocolate and strawberry - produced the following information.  50 candidates like vanilla, 28 like chocolate, 43 like strawberry, 13 like vanilla and chocolate, 11 like chocolate and strawberry, 12 like strawberry and vanilla, and 5 like all the three flavours.  How many candidates like chocolate and strawberry but not vanilla? Correct Answer 6

Given:

Total number of candidates = 100

Number of candidates who likes vanilla = 50

Number of candidates who like Chocolate = 43

Number of candidates who likes Strawberry = 28

Number of candidates who like all three flavors = 5

Number of candidates who likes vanilla and chocolate = 13

Number of candidates who likes chocolate and strawberry = 11

Number of candidates who likes strawberry and vanilla = 12

Calculation:

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Number of candidates who like Chocolate and Strawberry but not vanilla =

= Candidates who like Chocolate and Strawberry - Candidates who like all three flavors

= 11 - 5

= 6

∴ Number of candidates who like Chocolate and Strawberry but not Vanilla = 6

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