Match each description to its appropriate step number in determining the probability of an event by using permutations or combinations. Substitute the n and r into the appropriate arrangement formula and expand all factorials

List all possible outcomes, making sure that the number matches the number of arrangements

Determine the probability by finding the favorable outcomes from the sample space

Determine if order is important, the total number of objects being considered, and the number of objects being chosen

Cross out any common factors, find the product of remaining factors, and simplify the resulting fraction

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Amir wants to proportionally increase the size of a photo to create a poster for his room. the size of the original photo is shown. complete the statement and then answer the question to represent ways that amir can increase the size of his photo.

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.)

Solve for x where 0 equation: cot^2x+2cotx+1=0