Final answer:
The total number of 5-digit numbers that can be formed from the digits 1, 3, 5, 7, 9 with repetition allowed is 3125.
Step-by-step explanation:
In this problem, we are asked to find the number of 5-digit numbers that can be formed using the digits 1, 3, 5, 7, 9 with repetition allowed. To solve this problem, we need to determine the number of choices we have for each digit position.
There are 5 possible choices for the first digit position (1, 3, 5, 7, 9), and there are 5 possible choices for the second digit position, and so on, giving us a total of 5 choices for each of the 5 positions. Since these choices are independent, we can multiply the number of choices together to find the total number of 5-digit numbers that can be formed.
Therefore, the total number of 5-digit numbers that can be formed from the digits 1, 3, 5, 7, 9 with repetition allowed is 5 * 5 * 5 * 5 * 5 = 3125.