Problem 2 A child has 9 blocks, three of which are red, three of which are green, and the rest are white. (a) How many patterns can she make by placing them all in a line? (b) What is the probability that blocks of the same color are placed next to each other (e.g. 3 red then 3 green then 3 white)? (c) What is the probability that blocks cycle through the colors to each other (e.g. 1 red then 1 green then 1 white, then repeat twice)? (d) What is the probability that positions 1-3 have two blocks of the same color, positions 4-6 have two blocks of the same color, and positions 7-9 have two blocks of the same color? (Here "two" means "exactly two" )