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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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An exam code has (2) uppercase letters, (1) lowercase letter, and (2) digits in this order. Uppercase letters must be distinct, the lowercase letter has no restriction, and digits may repeat. How many codes are possible?

Answer and explanation

Correct answer: (26\times25\times26\times100)

There are (26\times25) ways for uppercase letters, (26) for the lowercase letter, and (10^2) for digits. When positions are fixed, multiply independent choices.

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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