Fiona needs to chose a five-character password with a combination of three letters and the even numbers 0, 2, 4, 6, or 8. if she uses her initials, f, j, and s in order as the first three characters, and she does not use the same digit more than once in her password, how many different possible passwords are there? 10 20 24 40

Find two consexutive odd integers such that the sum of their square is 650

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.)

Aright cylinder has a diameter of 8 m and a height of 6m. what is the volume of the cylinder