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In a bus journey there are (3) seat categories (5) bus times and (2) payment modes. How many booking options are possible?

Answer and explanation

Correct answer: 30

For each seat category, there are 5 choices of bus time and 2 choices of payment mode. By the fundamental principle of counting, the total number of options is \(3 \times 5 \times 2=30\). The value \(10\) counts only \(5 \times 2\) and ignores the seat categories. Exam tip: When choices are made in independent stages, multiply the number of choices at each stage.

Related tags

Fundamental Principle Of CountingPermutations And CombinationsProduct RuleBooking OptionsClass 11 MathematicsMathematicsClass 11 Mcq

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