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In an app, a user must pass through (3) security levels. The levels have (2,4,5) choices respectively. If choosing a special option at the second level reduces the third level by (2) choices, how many paths are possible?

Answer and explanation

Correct answer: (36)

The special option at level two gives (2\times1\times3=6) paths and the other (3) choices give (2\times3\times5=30) paths. The total is (36).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics

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