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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingMedium
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There are 3 routes from home to the market and 4 routes from the market to school. On the return journey, neither route segment may be the same one used on the outward journey. How many ways are there to travel from home to school and back home?

Answer and explanation

Correct answer: 72 ways

For the outward journey, there are 3 × 4 choices. On the return, there are 3 choices for the school-to-market segment (excluding the one used going out) and 2 choices for the market-to-home segment. Thus, the total is 3 × 4 × 3 × 2 = 72 ways.

Related tags

Permutations And CombinationsFundamental Counting PrincipleFundamental Principle Of CountingMathematicsClass 11 Mcq
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