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An email prefix is made of (3) lowercase letters and (2) digits. Letters do not repeat and digits do not repeat. The first position is a letter and the order is letter, letter, letter, digit, digit. How many prefixes are possible?

Answer and explanation

Correct answer: (26 \times 25 \times 24 \times 10 \times 9)

The three letters have (26,25,24) choices and the two digits have (10,9) choices. Count each type at its fixed positions.

Related tags

CountingEmailPrefixFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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