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A computer folder name is made from (2) letters and (2) digits. Exactly (1) letter must be uppercase and (1) lowercase, their positions may vary, and the two digits must be different. How many names are possible?

Answer and explanation

Correct answer: (6 \times 26 \times 26 \times 10 \times 9)

First choose the (2) letter positions in (6) ways and arrange uppercase-lowercase in (2) ways; thus the correct count should be (6 \times 2 \times 26^2 \times 10 \times 9). Among the options (6 \times 26 \times 26 \times 10 \times 9) is incomplete.

Related tags

CountingFoldersArrangementsFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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