Multiple choice

In how many ways can a four-character code be written such that its first two characters are vowels and the last two are digits? Repetition of characters is allowed.

  1. 2500

  2. 1800

  3. 1500

  4. 300
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A Correct answer
Explanation

There are 5 vowels (A, E, I, O, U) and 10 digits (0-9). For a 4-character code with repetition: 5 * 5 * 10 * 10 = 2,500.

AI explanation

There are 5 vowels to choose from for each of the first two characters and 10 digits for each of the last two. Using the multiplication principle for independent choices gives 5 * 5 * 10 * 10 = 2500 possible codes.

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