RADIUS IS 10 INCHES. The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle.
The face of a clock is divided into 12 equal parts.

Which statements about the clock are accurate? Select three options.
A. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
B. The circumference of the clock is approximately 62.8 inches.
C. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
D. The length of the major arc between 3 and 10 is approximately 31.4 inches.
E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

The answer is B, C, and E.

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.)