Han and clare walk towards each other a constant rate, meet up, and then continue past each other in opposite direction. we will call the position where they meet up 0 feet and the time when they meet up 0 seconds - han’s velocity is 4 feet per second. -clare’s velocity is -5 feet per second. -where is each person 10 second before they meet up? - where is each person at the position -10 feet from the meeting place?

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.)