perties: Commutative, Associative, and Distributive State the letter and the answer to each question. A Find the area of the rectangle if a = 7, b = 6, and c = 8. Al measurements represent inches. Beplain how you found the area. B. Find the area of the above rectangle another way. Explain how you found the area using this method. The distributive property is: a x (b + c) = (a x b) + (a x d). Match each side of this equation with the methods you used in part "A" and part "B". Explain how you found the area that matches a x (b + c). D. Bypain how you found the area that matches (a x b) + (a x 4).

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.)