2
QuizMultiple Choice

Finding Outcomes

Question 2 • CR - Algebra 2 26-27 - S2

Fiona needs to choose a five-character password with a combination of three letters and the even numbers 0, 2, 4, 6, or 8.If she uses her initials, F, J, and S in order as the first three characters, and she does not use the same digit more than once in her password, how many different possible passwords are there?

Answer
A
10
B
20
C
24
D
40

Explanation

The first three characters are fixed as F, J, and S, so only the last two positions can vary. There are 5 choices for the first digit and then 4 remaining choices for the second, since she cannot repeat a digit. Thus, 5 × 4 = 20 possible passwords, which is choice B, 20.

AI-written and checked against the verified answer.

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