suppose a sample space has things a, b, and c. Twice, draw from the sample space and replace. The possible sequences formed are (aa, ab, ac, ba, bb, bc, ca, cb, cc). Now suppose there are Y different things. There are Y ways the first draw can occur. For each of the Y ways the first draw can occur, there are Y ways the second draw can occur, resulting in Y times Y, or Y squared sequences. For each of the Y squared sequences formed from 2 draws, there are Y ways the 3rd draw can occur forming Y cubed draw can occur forming Y cubed sequences. Generalizing, there are Y(X) sequences formed by drawing X times Y different things with replacement.

How many sequences of 3 things can be formed from 8 different things with replacement and order is important?