US Senate Committees The US Senate consists of 100 members. Senate committees are to be formed so that each of the committees contains the same number of senators and each senator is a member of exactly one committee. The committees are to have more than 2 members but fewer than 50 members. There are various ways that these committees can be formed.

a.) What size committees are possible?

b.) How many committees are there for each size?

Question

US Senate Committees  The US Senate consists of 100 members.  Senate committees are to be formed so that each of the committees contains the same number of senators and each senator is a member of exactly one committee.  The committees are to have more than 2 members but fewer than 50 members.  There are various ways that these committees can be formed.

a.)    What size committees are possible?

b.)    How many committees are there for each size?