00:01
In this problem, we have been asked to determine how many different signals can be sent up on a flagpole.
00:06
Each signal requires seven blue and seven yellow flags, and all of the flags are identical except for color.
00:13
So basically, we need to find the number of ways we can arrange all of the flags, and that will give us the total number of signals.
00:21
Now, recall that if we have n objects, out of which n1 of them are identical, and n2 of them are identical, then the number of distinct arrangements we can get will be n factorial divided by n1 factorial times n2 factorial.
00:39
So we're going to use this formula.
00:41
Now, first of all, consider n.
00:42
That is the total number of objects.
00:44
And in this case, it will be the number of flags.
00:47
Now, there are seven blue and seven yellow flags...