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An identification number has (6) digits. The first (3) digits must be distinct and the last (3) digits may repeat. The first digit is not (0). How many identification numbers are possible?

Answer and explanation

Correct answer: (648000)

The first three digits can be chosen in (9\times9\times8) ways and the last three in (10^3) ways. The total is (9\times9\times8\times1000=648000).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics

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