Felix tried to solve an equation step by step. \qquad\begin{aligned} 2(5g-1)&=3 \\ 5g-1&=1.5&\green{\text{Step } 1} \\ 5g&=2.5&\blue{\text{Step } 2} \\ g&=0.5&\purple{\text{Step } 3} \end{aligned} 2(5g−1) 5g−1 5g g =3 =1.5 =2.5 =0.5 Step 1 Step 2 Step 3 Find Felix's mistake. Choose 1 Choose 1

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.)