Greg is building an outbuilding from concrete blocks. Base of the building is going to be a 32 ft x 28 ft rectangle. The block walls will be 10 ft tall. The concrete blocks he is using have a face that is 16 in by 8 in. He is laying the concrete blocks in such a way that, length dimension of it is along the perimeter of the building and width dimension is perpendicular to the base rectangle. He has already laid two rows of block all the way around the perimeter of the building. He is able to lay an average of 30 blocks per hour. How many more hours will it take him to lay the rest of the blocks for the building? Do not account for door or window spaces or overlapping of blocks in the corner areas.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)