There are 44 members on the board of directors for a Nnon-profit institution.
I have to find
a. If they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible?
b. If they must form an ethics subcommittee of four members, how many different subcommittees are possible?
I know you're supposed to use factorials, but I keep getting this crazy number. Also, for part b, do you go ahead and subtract those members you slated for part a before calculating?