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In a (6)-digit bank token, the first (2) digits must be same and the last (4) digits must all be distinct. The first digit cannot be (0). How many tokens are possible?

Answer and explanation

Correct answer: (45360)

The first equal pair has (9) choices, and the last (4) distinct digits have (10\times9\times8\times7) ways. The total is (9\times10\times9\times8\times7=45360).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics

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