1)A cube has all of its sides painted red and then is cut into 512 cubes of the same size. All cubes are placed in an urn and are thoroughly mixed, so that the probability of being randomly picked from the urn is the same for all cubes. What is the probability that a randomly picked cube has exactly two of its sides painted red?

2)How many bytes have the first two and the last two digits equal to 0?

3)LetA(2,1)A(2,1)andB(8,5)B(8,5)be the two points in the plane that are the nodes of a grid described in the module. If all paths are equally likely, what would be the probability of choosing a path that begins with an up move and ends with an up move? (each path is made up of moves that either go up one unit or over one unit to the right

4)How many permutations could we have from the letters making up the word machine?

5)A product code is a string of 2 characters and 2 digits or 1 character and 3 digits. What would be the total number of product codes if only the digits from 1 to 4 are used?