Question
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,
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 Y2 sequences.For each of the Y2 sequences formed from 2 draws, there are Y ways the 3rd draw can occur forming Y3 sequences.Generalizing, there are Yx sequences formed by drawing X times from Y different things with replacement. How many sequences of 5 things can be formed from 8 different things with replacement and order is important?
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