James wants to buy a new rug for his living room. In a department store, he finds a square rug that has an area of 9 m². 1. How long is each side of the rug? 2. How many of those rugs are needed to cover an area of 36 square meters? 3. If the room has a square area of 16 square meters and the rug is placed in the middle of the room, how much space would there be between each side of the rug and the wall? LOTS OF POINTS!!

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.)