fiona needs to choose a five - character password with a combination of three letters and the even numbers…
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?\n10\n20\n24\n40
Answer
Explanation:
Step1: Analyze digit - selection situation
The last two characters are digits. There are 5 even numbers (0, 2, 4, 6, 8). The number of ways to choose the fourth digit is 5 ways. Since the same digit cannot be used more than once, the number of ways to choose the fifth digit is 4 ways.
Step2: Calculate the total number of password combinations
By the multiplication principle, the total number of ways to form the last two - digit part of the password is the product of the number of ways to choose each digit. So the total number of possible passwords is (5\times4=20).
Answer:
20