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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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A die is rolled to choose a card box. For a prime result a box with (5) cards is used, and for a non-prime result a box with (7) cards is used, then one of (4) colors is selected. How many outcomes are possible?

Answer and explanation

Correct answer: (144)

The die has (3) prime and (3) non-prime outcomes, so ((3\times5+3\times7)\times4=144). Count the type of outcome first.

Related tags

Permutations-And-CombinationsFundamental-PrincipleCountingHardFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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