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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A (3)-stage security system has (4) choices in the first stage, (5) in the second, and (6) in the third. But if option (A) is chosen in the first stage, only (2) choices remain in the third stage. How many secure paths are possible?

Answer and explanation

Correct answer: (100)

If the first option is (A), paths are (1\times5\times2=10); for the other (3) options, paths are (3\times5\times6=90). The total is (100).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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