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A website password must have (4) letters followed by (3) digits. Letters are chosen from the English alphabet without repetition and digits from (0) to (9) with repetition allowed. How many passwords are possible?

Answer and explanation

Correct answer: (26 \times 25 \times 24 \times 23 \times 10^3)

Letters cannot repeat so the choices decrease and digits can repeat so the factor is (10^3). Read each restriction separately first.

Related tags

CountingPasswordLettersFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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