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A password has (6) positions. Exactly (3) letters and (3) digits are used from (5) letters and (5) digits without repetition. The first and last positions cannot both be digits. How many passwords are possible?

Answer and explanation

Correct answer: (57600)

First count all mixed passwords and subtract cases where both first and last positions are digits. Keep position selection and object arrangement separate.

Related tags

PasswordsMixed-CodeCountingFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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