A recipe for chocolate chip cookies makes 4 dozen cookies and calls for the following ingredients: 1 1/2 Cups margarine 1 3/4 Cups sugar 2 tablespoons vanilla 3 1/4 Cups flour 1 tablespoons baking powder 1/4 teaspoons salt 8 ounces chocolate chips 1)How much of each ingredients is needed to make 3 recipes? 2) How much of each ingredient is needed to make 3/4 of a recipe?

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.)