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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A bag tag has (3) colored strips arranged in order. (8) colors are available and adjacent strips cannot have the same color. How many tags are possible?

Answer and explanation

Correct answer: (448)

The first strip has (8) choices and each of the next two strips has (7) choices. The third may match the first but not the second, so the correct count is (8\times7\times7=392).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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