Posted by **Bart** on Wednesday, April 28, 2010 at 10:15pm.

How many ways can three cars be parked in a row of four parking spaces?

I have no idea how to do this?

- Math probability -
**drwls**, Wednesday, April 28, 2010 at 10:28pm
Can they be facing in or out? Or do they have to drive head in?

Let's assume the latter.

The first car has four spaces to choose from. That leaves the second car with three choices and the third with two. Take the product:

4 x 3 x 2 = ?

- Math probability -
**bobpursley**, Wednesday, April 28, 2010 at 10:29pm
Well, you are actually parking three cars and an empty space.

What is 4!

Let cars be aBC and E is the empty space

EABC

EACB

EBCA

EBAC

ECAB

ECBA

then you can move the E to the other three positions, you will get six in each, or 24 total, or 4!

- Math probability -
**bobpursley**, Wednesday, April 28, 2010 at 10:31pm
and, I forgot the headin/headout that DrWLS mentioned.

That makes the 4! now 4!*2*2*2

- Math probability -
**jen**, Thursday, April 29, 2010 at 12:13am
4 x 3 x 2 = 24

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