Arope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. there are 28.3495 grams in an ounce and 2.54 centimeters in an inch. how many ounces would a 19.45 inch length of the same rope weigh?
a. 5.10 oz
b. 11.49 oz
c. 32.92 oz
d. 53.90 oz

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.)