The results for a survey of 120 students who were selected randomly are as follows: 60 students have a cell phone plan with Verizon, 36 students have a cell phone with T-Mobile, and 24 students do not have a cell phone. The total number of students in the school was 380. Based on the data, what is the BEST approximation for the total number of students who have a cell phone plan with T-Mobile? *

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.)