PLEASE QUICK 20 POINTS! ALGEBRA 2; SOLVING INTEGERS! help out pls!! Define the function floor(x) to be the largest integer which is less than or equal to x.

Let f(x) = floor(x) and g(x) = (3/4)x.

Solve the inequality f(x) > g(x). Also, solve using "greater than or equal to".

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.)