It took Mary Lou 5 _ 6 hour to write a report for English class. It took Heather 9 __ 10 as much time to write her report as it took Mary Lou. For numbers 11a–11c, select Yes or No to answer each question.11a. Did Mary Lou and Heather Yes Notake the same amount of time to write their reports?11 b. Did Mary Lou spend more Yes Notime writing her report than Heather?11c. Did it take Heather 3 _ 4 hour to Yes Nowrite her report

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.)