Abicycle manufacturer is reducing the number of spokes on each bicycle wheel by 4. a wheel on one of the company's new cross-country bikes has 32 spokes. which equations could be used to determine the number of spokes s that a wheel on a cross-country bike used to have? a. s + 32 = 4 b. s + 4 = 32 c. s - 32 = 4 d. s - 4 = 32

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.)