An organization with 100 people will be divided into smaller committees.
a. What are the possible committee sizes if every committee must be the same size?
b. What are the possible committee sizes if the organization wants to have some large committees (each the same size) and some smaller committees (each the same size), and the larger committees must be at least twice the size of the smaller ones?
c. Create at least one more restriction on part (b) that would lead to fewer possible answers.
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