The steps below show the incomplete solution to find the value of x for the equation 5x − 2x − 3 = −2 + 9:

Step 1: 5x − 2x − 3 = −2 + 9
Step 2: 5x − 2x − 3 = 7
Step 3: 3x − 3 = 7

Which of these is most likely the next step? (4 points)

a
3x = 16

b
3x = 10

c
3x = 39

d
3x = 3

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.)