There are 8 majors in a faculty. How many ways are there for 6 students in this faculty to each choose one favorite major? (Alex choosing statistics and Ben choosing computer science is different from Alex choosing computer science and Ben choosing statistics.) _ 555 A garderning company is planting trees and flowers at 3 sites on the median of a new road. For each site, the company chooses one of the 4 available tree types and one of the 4 available flower types and plant them. In how many ways can the company plant trees and flowers at these 3 sites? - 555 Find the number of different ways to rearrange letters in the word PERMUTATION such that all the vowels always occur in the odd place. a