Complete the two-way frequency table below, which shows the relationship between students who enroll in art class and in music class in a particular high school. From a sample of 60 students it is found that 23 are in art class, 34 are in music class, and 11 are enrolled in both. How many students are enrolled in either art class or music class? Art Not in Art Total
Music 11 34
Not in Music
Total 23 60

35
14
11
46

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.)