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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A mobile lock has (4) distinct digits. The first digit cannot be (0) and the last digit must be even. How many locks can be formed?

Answer and explanation

Correct answer: (2296)

If the last digit is (0), there are (9\times8\times7) ways; if it is (2,4,6,8), there are (4\times8\times8\times7) ways. The total is (504+1792=2296).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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