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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingMedium
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A school trip plan includes choosing 1 of 5 buses, 1 of 4 meal packs, and 1 of 3 museum options. A guide is optional, and there are 2 guides available. How many plans are possible?

Answer and explanation

Correct answer: 180 plans

There are 5 × 4 × 3 = 60 ways to choose the bus, meal, and museum option. For the guide, there are 3 choices: either one of the 2 guides or no guide. Thus, there are 60 × 3 = 180 plans.

Related tags

Counting PrincipleOptional ChoicesClass 11Fundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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