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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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In an exam of (6) questions with (5) options each, a student answers every question. The same option cannot be chosen in any two consecutive questions. How many answer patterns are possible?

Answer and explanation

Correct answer: (5\cdot4^5)

The first question has (5) choices and each next question has (4) choices different from the previous one. For consecutive restrictions, count position by position.

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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