HELP A saleswoman is working with a stage director to build a triangular neon sign for a play. The stage director gave the saleswoman the measurements for the sign over the phone. Their connection kept cutting out so the saleswoman is not sure she has the correct measurements.

The saleswoman believes the stage director wants the side lengths of the neon sign to be 10 feet, 5 feet, and 4 feet. Could those be the correct measurements?

A.
No, because 4 + 5 = 10 is not true.
B.
Yes, because 10 + 5 > 4 is true.
C.
No, because 4 + 5 > 10 is not true.
D.
Yes, because 10 > 4 + 5 is true.

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.)