As I was watching Greg explain q: What is the number of distinct 3-digit numbers we can make with the numbers in set S={1,2,3,4,5}?
Here went on to explain other scenarios for the three digits: he explains that 1. ABC
But, he doesn’t go over BBB, BAB, CCC, CAC, etc. Why did he not cover those options?
I was confused.
Repeated digits are allowed.
We want to fill in distinct 3-digit numbers.
We have three slots: ___ ___ ___
Since repeats are allowed, we can choose any of the 5 numbers for the 1st slot, any of the 5 numbers for the 2nd slot, and any of the 5 numbers for the 3rd slot.
There should be 5 x 5 x 5 = 5^3 = 125 possible three digit numbers.
I am unsure why he explained the scenarios like that. I would have to see which video you were watching to have more context.