n organization is run by N managers. A meeting consists of 2 or more man-agers.
- Given N managers, how many total distinct meetings (consisting of 2 to N managers)are possible?
- In how many of these meetings must a given manager participate?
Hint: Try values N = 2, 3, 4, 5, to see if there is a pattern. Label the managers A,B,C,etc. such that ADF is a 3-person meeting between the 1st,4th, and 6thmanager, etc