00:01
There is a drawing of names out of a hat to decide which employees are going to a conference in jamaica.
00:09
There are 22 employees and there are three names being drawn.
00:18
Okay, so first of all, how many different combinations are there with order built in? well, he could pick 22 different options for the first name.
00:31
There are 21 options left for the second.
00:34
There are 20 options left for the third name.
00:37
So this is our starting point.
00:40
This is the denominator here.
00:43
22 times 21 over 20, which is 9 ,240.
00:50
So there are 9 ,240 different ways he could pull three names out of this hat.
00:58
But because order doesn't matter here, it doesn't matter what order these particular three employees are chosen.
01:05
Then we have to take that into account, and that's going to be our numerator.
01:09
How many different combinations meet our criteria? how many different combinations have you, amanda, and brian? well, that would be three times two times one.
01:22
Because if we look at these three options, there are three of you that could be pulled out first, then two of you pulled out second, and then one left.
01:31
So it would be six.
01:33
Six over nine to, 40...