Need help with the question from the picture

A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of Zinfandel, 7 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) I he wants to serve 3 bottles of Zinfandel and sewing order is important, how many ways are there to do this? (b) I 6 bottles of wine are to be randomly selected from the 27 for sewing, how many ways are there to do this? (c) I 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) I 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) I 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Ruund your answer to three decimal places.)