Stevo wants to go bowling tonight. He can go to Bowl-o-rama or Bowling Pinz. Bowl-o-rama charges a $2.00 rental fee for bowling shoes, and $2.50 per game. Bowling Pinz charges a $4.00 rental fee for bowling shoes, and $2.00 per game. How many games can Stevo play to make the cost of each ally they same? And how much money should he bring? Games $

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.)