VThe wool of a vicuna is finer than any other wool. The hair of this animal can be as thin as 0.000006 meters. If the average thickness of human hair is approximately 8.4 × 10-5 meters, what is the difference of the thickness of a human hair and a vicuna hair? A.
2.4 × 10-5 meters
B.
2.4 × 10-6 meters
C.
7.8 × 10-6 meters
D.
7.8 × 10-5 meters

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.)