A linguist has a word list consisting of five verbs and ten nouns. a. How many possible arrangements of these 15 words are there? b. If the verbs are to be listed first, how many possible lists are there? A certain department of Anthropology requires its undergraduate students to take four core courses: ANTH 18210 Intro to Cultural Anthropology ANTH 18630 Human Evolution ANTH 18420 Intro to Archaeology ANTH 38490 Quantitative Anthropology a. If these courses are taken one at a time, how many possible sequences are there? b. What is the probability of the following sequence? ANTH 18420384901821018630 c. Supposed that the faculty instituted a new rule requiring all entering students to take Human Evolution (ANTH 18630) first and then any other sequence of the remaining courses. Find the probability that a student would take the following sequence: Human Evolution, Intro to Archaeology, Intro to Cultural Anthropology, Quantitative Anthropology