Part C For 560 texts, plan C has the same monthly charge as plan A. For 580 texts, plan
C has the same monthly charge as plan B. Write an equation representing the
charges for plan C.
Part D:
Suzanne intends to purchase one of the plans. Which plan should Suzanne purchase based on the average number of text messages that she thinks she will send each month? Using the equations that represent the three plans, provide evidence to support your answer algebraically.

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.)