Select the statement that explains the relationship between 430{,}100430,100430, comma, 100 and 43{,}01043,01043, comma, 010. Choose 1 Choose 1 (Choice A) A 430{,}100430,100430, comma, 100 is 101010 times smaller than 43{,}01043,01043, comma, 010. (Choice B) B 43{,}01043,01043, comma, 010 is 101010 less than 430{,}100430,100430, comma, 100. (Choice C, Checked) C 430{,}100430,100430, comma, 100 is 101010 times as much as 43{,}01043,010

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.)