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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A quiz has (5) multiple-choice questions. The first (2) questions have (4) options each and the remaining (3) questions have (5) options each. If every question must be answered, how many answer patterns are possible?

Answer and explanation

Correct answer: (4^2 \times 5^3=2000)

Each question is an independent stage, so the count is (4 \times 4 \times 5 \times 5 \times 5). For mandatory answers multiply, do not add.

Related tags

CountingQuizAnswer-PatternFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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