A city has just passed an ordinance to control the number of fish in a lake. When the number of fish in a lake increases by 60%, 180 fish must immediately be removed from the lake. When this new number of fish increases by 60%, 180 fish must immediately be removed from the lake again, and so on. If the ordinance is followed, which number will result in the number of fish in the lake remaining constant?

A) 180
B) 220
C) 260
D) 300

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.)