The U.S. Senate consists of 100 members. Senate committees are

The U.S. 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.

The U.S. Senate consists of 100 members. Senate committees are

(a) What size committees are possible?

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


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