00:01
For this problem, we have eight books and 14 spaces that we need to fill.
00:05
So i'll just write that down here.
00:08
We have eight books, 14 spaces.
00:15
And we know that one of the books needs to be in position 14.
00:19
So, really, we have seven books and we have 13 spaces to fill.
00:30
Now, i'm going to note here that i'm just going off the fact that we are totally in the question that one of the books needs to go into space 14.
00:41
I'm going to note here that all of the things that i'm going to say would apply equally well to if we have, say, a book or a bookshelf with 30 spaces or 40 spaces.
00:54
I'm just using 13 as the number of available spaces.
00:59
So actually, i'm going to say, or n available spaces.
01:04
So the numerical answer might not be the exact same.
01:08
If there are more than 13 remaining spaces after number 8, which i just chose arbitrarily, goes into space 14.
01:18
But really, we have seven books and n available spaces.
01:23
So the way that we can think of this is that we have 13 spaces to distribute between seven books...