- #1

playboy

Suppose that we randomly place 8 playing spieces on an 8 x 8 checkerboard.

What is the probability that each row of the checkerboard will have only one piece?

I've been trying forever to get this question going. My problem is that I cannot figure out the magnitude of the sample space. Can somebody please help me out with this?

I tried to find the sample space for a 2x2 and 3x3 board.

For a 2x2 board i got |S| = 6

For a 3x3 board i got |S| = 24

For a 4x4 board...it got really messy...

Can somebody give me a boost please!? :uhh: