I was wondering if someone could offer some guidance as to whether this problem is a permutation or combination.
A newcomers' club of 30 people wants to choose an executive board consisting of president, secretary, treasurer, and 2 other officers. In how many ways can this be accomplished?
To me, it seems as though this would be a permutation because the order of the officers matters because each has a distinct job.
I am not sure though. What do you think?