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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingMedium
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A 4-place code has letters in the first and last places and digits in the two middle places. There are 5 letters and 6 digits available, and repetition is allowed. How many codes are possible?

Answer and explanation

Correct answer: 900 codes

Each of the two letter places has 5 choices, and each of the two digit places has 6 choices. Since repetition is allowed, the total is 5 × 6 × 6 × 5 = 900 codes.

Related tags

Permutations And CombinationsFundamental Principle Of CountingMathematicsClass 11 Mcq
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