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Class 11MathematicsPermutations and CombinationsCombinationsEasy
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There are 4 bus routes and 3 train routes from a city to a village. In how many different ways can the journey be made using exactly one mode of transport?

Answer and explanation

Correct answer: 7

The traveller can choose one of the 4 bus routes or one of the 3 train routes. Since these choices are mutually exclusive, the addition principle gives \(4+3=7\) ways. Multiplying to get 12 would be incorrect because both a bus route and a train route are not being selected together. Exam tip: add mutually exclusive ‘or’ choices and multiply successive ‘and’ choices.

Related tags

Permutations And CombinationsAddition PrincipleCounting PrincipleMutually Exclusive ChoicesCombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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