Soil Samples An environmental agency is analyzing soil samples from 50 farms for lead contamination. Eight of the farms have dangerously high levels of lead. If 10 farms are randomly selected from the sample, how many ways could 2 contaminated farms and 8 noncontaminated farms be chosen? Use a technology tool. Word Jumble In Exercises 33–38, do the following.

(a) Find the number of distinguishable ways the letters can be arranged.

(b) There is one arrangement that spells an important term used throughout the course. Find the term.

(c) If the letters are randomly arranged in order, what is the probability that the arrangement spells the word from part (b)? Can this event be considered unusual? Explain.