00:01
In the first question here, we consider a company that has 38 salespeople, and a board member at the company asks for a list of the top three salespeople ranked in order of effectiveness.
00:12
And we were asked how many such rankings are possible.
00:16
In this situation, the order obviously matters.
00:19
The first one is the top salesperson, second is the second best salesperson, and the third best.
00:26
So for the first person, there's 38 possibilities.
00:30
Any one of the 38 people might be the best salesperson.
00:33
And then for the second, there would be 37 people left.
00:38
And then for the third, there are 36 people left.
00:41
And this comes out to 50 ,616.
00:45
A slightly more rigorous way to do this would be to recognize that we are finding the permutations of three objects from a total of 38 unique objects.
01:02
In general, n permutations of our objects from n is equal to n factorial...