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 Set Me Up (Posted on 2004-02-10)
To demonstrate set union and intersection to her class, Mrs. Putnam asked for three students to each write down a set of numbers.

After they had done so, she looked at their sets and told the class, "the union of these three sets is the first ten counting numbers, but their intersection is empty!"

How many triples (A, B, C) of sets are there such that

A U B U C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
and
A ∩ B ∩ C = {} ?

 See The Solution Submitted by DJ Rating: 4.3636 (11 votes)

 Subject Author Date re: Is this right ? Penny 2004-02-10 16:47:23 re(5): Solution FINAL WORD revisited Ady TZIDON 2004-02-10 16:38:55 re(5): Solution FINAL WORD(by Charlie Charlie 2004-02-10 15:58:42 re(4): Solution FINAL WORD(by Charlie Charlie 2004-02-10 15:53:24 re(4): Solution FINAL WORD Brian Smith 2004-02-10 15:13:44 re(3): Solution FINAL WORD(by Charlie Ady TZIDON 2004-02-10 14:50:41 re(2): Solution FINAL WORD Charlie 2004-02-10 13:30:02 re(2): Solution - not yet? Charlie 2004-02-10 13:24:41 Is this right ? Penny 2004-02-10 13:02:43 re: Solution FINAL WORD Ady TZIDON 2004-02-10 13:01:06 re(3): Game, set and match !!!! SilverKnight 2004-02-10 12:14:34 re(2): Game, set and match !!!! Penny 2004-02-10 12:08:54 re: Game, set and match !!!! SilverKnight 2004-02-10 11:39:29 Game, set and match !!!! Penny 2004-02-10 11:31:50 re: Solution - not yet? SilverKnight 2004-02-10 11:26:26 re(3): solution SilverKnight 2004-02-10 11:13:33 re(4): my solution Ady TZIDON 2004-02-10 11:12:54 re: Solution - I'll drink to that Ady TZIDON 2004-02-10 11:10:41 re(3): my solution Charlie 2004-02-10 11:07:22 re(2): solution Charlie 2004-02-10 11:00:46 re(2): solution Ady TZIDON 2004-02-10 11:00:42 re(2): my solution Ady TZIDON 2004-02-10 10:58:51 Solution Brian Smith 2004-02-10 10:58:38 re: solution SilverKnight 2004-02-10 10:56:23 re: solution Ady TZIDON 2004-02-10 10:55:19 re: solution Penny 2004-02-10 10:52:13 re: my solution Charlie 2004-02-10 10:52:08 Penny u r overlooking something again :-( Ady TZIDON 2004-02-10 10:47:56 solution Charlie 2004-02-10 10:45:08 my solution Ady TZIDON 2004-02-10 10:33:08 Solution, unless I am overlooking something again :-( Penny 2004-02-10 10:20:37

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