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A café offers 7 drinks, 5 snacks, and 3 desserts. A customer may choose only a drink, a drink with a snack, or a complete set consisting of a drink, a snack, and a dessert. How many options are possible?

Answer and explanation

Correct answer: 147 options

There are 7 ways to choose only a drink, 7 × 5 = 35 ways to choose a drink with a snack, and 7 × 5 × 3 = 105 ways to choose a complete set. These are separate types of choice, so the total is 7 + 35 + 105 = 147 options.

Related tags

Counting PrincipleSum And Product RulesClass 11Fundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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