Part A Which of the following recursive functions defines the sequence described above?

A
f(1)=−18f(n)=4f(n+1), n>1f\left(1\right)=-18\newline f\left(n\right)=4f\left(n+1\right), \ n>1f(1)=−18
f(n)=4f(n+1), n>1
B
f(1)=−18f(n)=4+f(n+1), n>1f\left(1\right)=-18\newline f\left(n\right)=4+f\left(n+1\right) ,\ n>1f(1)=−18
f(n)=4+f(n+1), n>1
C
f(1)=−18f(n)=4+f(n−1), n>1f\left(1\right)=-18\newline f\left(n\right)=4+f\left(n-1\right) ,\ n>1f(1)=−18
f(n)=4+f(n−1), n>1
D
f(1)=−18f(n)=4f(n−1),n>1f\left(1 \right)=-18\newline f\left(n\right)=4f\left(n-1\right), n>1f(1)=−18
f(n)=4f(n−1),n>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.)