How many committees are present for each size


US Senate Committees The US Senate comprises of 100 members. Senate committees are to be formed so that each of committees has same number of senators and each senator is member of exactly one committee. Committees are to have more than two members but fewer than 50 members. There are several ways that the committees can be formed.

i) What size committees are feasible?

ii) How many committees are present for each size?

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Mathematics: How many committees are present for each size
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