00:01
In the state of pennsylvania, each standard license plate number consists of three letters followed by a four -digit number.
00:07
How many distinct license plate numbers can be formed in pennsylvania? so to solve this, i think we should just draw out a visual.
00:15
So a license plate is going to first have three letters.
00:17
So we have one, two, three slots, and then a four -digit number.
00:22
So we have one, two, three, four numbers.
00:26
So to find distinct license plate numbers, let's first look at the first letter.
00:31
How many possibilities of a letter can we have in this first slot? so there's 26 letters in the alphabet, so we'll have 26 possibilities here.
00:42
To solve this question, we're going to be using the fundamental counting principle.
00:45
So first we have 26 possibilities.
00:47
For the second letter here, we have 26 possibilities.
00:52
And for the third letter, our last letter, we have 26 possibilities...