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A cafe has (6) coffees (3) cup sizes and (2) sugar levels. In how many ways can one coffee one size and one sugar level be chosen?

Answer and explanation

Correct answer: 36

The choices of coffee, cup size, and sugar level are independent. Therefore, by the fundamental principle of counting, the total number of choices is \(6 \times 3 \times 2=36\). Option 18 ignores the 2 possible sugar levels. Exam tip: Multiply the number of choices at each stage when every choice at one stage can be paired with every choice at the next stage.

Related tags

Fundamental Counting PrinciplePermutations And CombinationsClass 11 MathematicsMultiplication RuleCounting TechniquesFundamental Principle Of CountingMathematicsClass 11 Mcq

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