Here's a problem I'm working on, would appreciate any help!

You've been hired by the San Francisco Department of Health to schedule a collection of safety and

training meetings over the course of the 2022 calendar year. You need to schedule a total of 18 meet-

ings, but otherwise very little has been decided about how they should be scheduled

a. (7 points) How many ways can these 18 meetings be scheduled such that there are at least one

but at most three meetings per month?

b. (8 points) Assuming there are 92 SFDH employees, and each of the 92 is required to attend

exactly one of the 18 distinct offerings, how many ways can all 92 employees be assigned to

the 18 meetings, the only constraint being that each meeting is required to have 5 or 6 people?