Question

An order of award presentation has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. a) In how many ways can the people be presented? Is that just 7!? And b) In how many ways can the first award be presented to Karen and the last to Lyle?

Answer 1

A)
Yes, it's $7!=5040$

b)
Karen and Lyle have fixed positions, so $5!=120$