00:01
In this question, we are given this word and we want to find the number of distinguishable arrangements.
00:07
Now, the keyword here is arrangements.
00:09
Arrangements means order is important because, for example, v -i -g -i -l -l -i -o -n is not the same as g -i -v, for instance, i -n -t -i -l -o -n, because the positioning is different.
00:34
So that means order is important.
00:38
So the keyword here is arrangement.
00:39
Arrangements mean order is important.
00:42
So order is important.
00:43
We'll be using permutation.
00:49
If order is not important, we'll be using combination.
00:53
But there is a little bit of a snack here because there are repeats.
00:59
Like the letter i, there are four repeats.
01:01
So let's look at the individual letters.
01:04
Letter v, there's only one of them.
01:07
Letter i, there are four.
01:08
Letter g, there's one, letter n, there's two, letter t, there's one, letter l, there's two, letter o, there's one...