00:01
All right, so we are creating a five -digit license plate using the numbers one, two, three, four, five, six, and seven.
00:08
So one through seven.
00:13
And we want to create it so that the first number is odd, but repeats are okay.
00:19
We want to know how many different license plates we can create.
00:25
So we have five digits.
00:29
And we're going to use the fundamental counting principle here.
00:31
So we want to know here that this must be an odd number.
00:38
One, two, three, four options that can go in the first space.
00:45
And then we have one, two, three, four, five, six, seven options that can go in any of the other spaces, because there are no requirements.
00:55
Each of these spaces could have the first number or each of these spaces could repeat any of the other numbers here.
01:03
So we would need to multiply four times seven to the fourth power to find those numbers...