00:01
In this question, we're given a license plate consists of three letters followed by three digits.
00:06
In part a, we want to find the number of license plates that can be made if there are no restrictions on the letters or digits.
00:14
This means the letters or digits can be repeated.
00:17
So i'm going to draw six slots here to represent the license plate.
00:21
The first three slot, i can use letters from a to z.
00:25
And the next three slot is using digits zero to nine.
00:31
Now, for the first slots here, there are 26 alphabets i can choose one to put into the first slot.
00:40
Now, n in combinatorics is thumps or is plus.
00:46
So, n, so that's a thumps.
00:49
Second slot, again, because the letters can be repeated, i have 26 of them to choose one to put into the second slot.
00:57
Same for the third slot, since letters can be repeated, it will be 26 choose one.
01:02
And for the digits, the first digit, there are 10 digits to choose from.
01:07
So 10 choose one to slot into the first position for the digit...