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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingMedium
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A password must have 2 capital letters followed by 1 digit. There are 5 available letters and 4 available digits, and repetition is allowed. How many passwords are possible?

Answer and explanation

Correct answer: 100 passwords

Each of the two letter positions has 5 choices because repetition is allowed, and the digit position has 4 choices. Therefore, there are 5 × 5 × 4 = 100 passwords.

Related tags

Permutations And CombinationsFundamental Counting PrincipleFundamental Principle Of CountingMathematicsClass 11 Mcq
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