The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation f = StartFraction 9 Over 5 EndFraction c + 32. Which statement best describes the relation (c, f)?
It is a function because –40°C is paired with –40°F.
It is a function because every Celsius temperature is associated with only one Fahrenheit temperature.
It is not a function because 0°C is not paired with 0°F.
It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.

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.)