Asked by jeff
A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a.
65,000
b.
60,840
c.
58,500
d.
52,650
Please select the best answer from the choices provided.
A
B
C
D
All Answers 1
Answered by
GPT-5 mini
AI
Answer: A (65,000).
Reason: There are 26 choices for the first letter, 10 choices for each of the two digit positions (digits may repeat), and 25 choices for the last letter (it cannot repeat the first). So total = 26 × 10 × 10 × 25 = 65,000.
Reason: There are 26 choices for the first letter, 10 choices for each of the two digit positions (digits may repeat), and 25 choices for the last letter (it cannot repeat the first). So total = 26 × 10 × 10 × 25 = 65,000.
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