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QuizMultiple Choice

Lesson 5: Identity Theft

Question 1 • T1 - 4 RMA-TX-Financial Math-B

A three-character password is to be created by choosing characters from the digits 0 through 5 inclusive, vowels (a, e, i, o, u), or 5 special keyboard characters. If only one character category can be used at a time, rank the following from smallest to largest based on the number of possibilities for a password. 1. digit, digit, vowel 2. vowel, special character, vowel 3. special character, vowel, digit

Answer
A
1, 3, 2
B
2, 3, 1
C
3, 2, 1
D
They are all equal.

Explanation

There are 6 possible digits (0 through 5), 5 vowels, and 5 special characters. The three patterns have 6 × 6 × 5 = 180 possibilities for pattern 1, 5 × 5 × 5 = 125 for pattern 2, and 5 × 5 × 6 = 150 for pattern 3. From smallest to largest, they are 2, 3, 1, which is choice b.

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