00:01
As drawn here, we've got a container with seven white balls and three red ones.
00:04
Now, we're going to pull some different amounts from the container, and we're going to determine how many different ways this can happen.
00:10
So first off, suppose we pull two white ones and one red.
00:15
So for this to happen, we have a total of seven white balls, and we are choosing two.
00:22
So combination, seven, two.
00:25
And we also have three red balls, and we are choosing one.
00:31
So by the fundamental principle of counting, also known as the multiplication principle in this chapter, we multiply these two terms together to get the total number of ways that this can happen.
00:39
And if you do this, you will get that it is equal to 63.
00:43
So there's 63 ways to pull two white balls and one red.
00:47
Next up, suppose we pull three white balls and zero red.
00:52
Well, once again, we're going to do the same process as last time.
00:55
We have a combination seven choose three times a combination of, three choose zero...