Answer :
The total number of 5-digit numbers are 120 if the situation involves permutations.
What is permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Number of digit need to formed = 5
Digits are 0, 1, 2, 3, and 4
If repetition allowed which means order does not matter:
The above situation is a combination.
Then, Total number of 5-digit numbers = 5×5×5×5×5
= 5⁵
= 3125
If repetition not allowed which means order matter:
The above situation is permutations.
Then, total number of 5-digit numbers = 5×4×3×2×1 = 5! = 120
Thus, the total number of 5-digit numbers are 120 if the situation involves permutations.
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