Step-by-step explanation and Answer:
The number of ZIP codes that can be formed using the same five digits (2, 4, 9, 6, 8) depends on whether repetitions are allowed or not.
If repetitions are allowed, each of the five positions in the ZIP code can be any of the five digits. So, the total number of ZIP codes is 55=3125
.
If repetitions are not allowed, the first position can be any of the five digits, the second position can be any of the remaining four digits, and so on. So, the total number of ZIP codes is 5∗4∗3∗2∗1=120
.
So, depending on whether repetitions are allowed or not, there could be either 3125 or 120 different ZIP codes.
