6. Draw rectangle ABCD so that point A is at (3,-2), B is at (7,-2), C is at (7,-5) and D is at (3, -5) a. Rotate ABCD 90° counter-clockwise around point Y (2,-1) and write the coordinates
of A'B'C'D':
b. If it is then dilated by a scale factor of 1/2 centered at the origin. write the coordinates of A”B”C”D”

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.)