Posted by **pamela** on Saturday, March 12, 2011 at 4:00pm.

Suppose the 435 members of the house of representatives are placed on committees consisting of more than 2 members but fewer than 30 member of members and each member is to be on one committees. Each committee is to have an equal number of members and each member is to be on one committee. What size committees are possible?

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**bobpursley**, Saturday, March 12, 2011 at 4:04pm
factors of 435: 5 (87) so five folks one 27 committees. (or 87 folks [not allowed] one 5 committees).

factors of 435: 15 (29) would that work? 15 folks on 29 committees?

Any others?

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**judy williams**, Sunday, July 3, 2011 at 3:08pm
Suppose the 435 members of the House of Representatives

are placed on committees consisting of more than

2 members but fewer than 30 members. Each committee

is to have an equal number of members and each member

is to be on only one committee.

a. What size committees are possible?

b. How many committees are there of each size?

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**Henry**, Monday, July 4, 2011 at 2:29pm
M = Members.

C = Committees.

3M/C * 145C = 435 Members.

5M/C * 87C = 435.

15M/C * 29C = 435.

29M/C * 15C = 435.

a. 3,5,15,and 29M/C are possible.

b. 145,87,29, and 15C, respectively.

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**Anonymous**, Thursday, October 1, 2015 at 6:05pm
Deeznuts

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