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A bus ticket has (3) classes (7) rows and (4) seats in each row. How many total ways are there to choose one seat?

Answer and explanation

Correct answer: 84

To choose one seat, select 1 of the 3 classes, then 1 of the 7 rows, and then 1 of the 4 seats in that row. By the fundamental principle of counting, the total number of ways is \(3 \times 7 \times 4=84\). Option 42 counts only the classes and rows, \(3 \times 7\), and ignores the 4 seats in each row. Exam tip: multiply the number of choices at every successive stage.

Related tags

Fundamental Counting PrincipleProduct RulePermutations And CombinationsClass 11 MathematicsSeat SelectionFundamental Principle Of CountingMathematicsClass 11 Mcq

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