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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A password has (3) lowercase letters and (1) special symbol in this order. Lowercase letters may repeat, and the special symbol is chosen from (4) options. If the first letter cannot be a vowel, how many passwords are possible?

Answer and explanation

Correct answer: (21\cdot26^2\cdot4)

The first letter has (21) consonant choices, the next two letters have (26^2) choices, and the special symbol has (4) choices. The total is (21\cdot26^2\cdot4).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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