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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingMedium
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A password has 3 letter positions followed by 2 digit positions. Each letter position has 4 choices, and each digit position has 6 choices. Repetition is allowed. How many passwords are possible?

Answer and explanation

Correct answer: 2304 passwords

Since repetition is allowed, the letter positions have 4³ possibilities and the digit positions have 6² possibilities. Thus the total is 4³ × 6² = 64 × 36 = 2304 passwords.

Related tags

Counting PrincipleRepetitionFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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