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In music practice there are (4) ragas (5) rhythms and (2) speed options. How many total ways are there to choose one each?

Answer and explanation

Correct answer: 40

One raga, one rhythm and one speed are chosen independently. Therefore, by the fundamental principle of counting, the total number of ways is \(4 \times 5 \times 2=40\). Adding them to get \(4+5+2=11\) is incorrect because one choice from each category is combined. Exam tip: multiply the numbers of choices when every stage is part of the same selection.

Related tags

Fundamental Principle Of CountingMultiplication RulePermutations And CombinationsClass 11 MathematicsCounting TechniquesMathematicsClass 11 Mcq

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