All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Set Me Up (Posted on 2004-02-10) Difficulty: 3 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Is this right ?Penny2004-02-10 16:47:23
Some Thoughtsre(5): Solution FINAL WORD revisitedAdy TZIDON2004-02-10 16:38:55
re(5): Solution FINAL WORD(by CharlieCharlie2004-02-10 15:58:42
re(4): Solution FINAL WORD(by CharlieCharlie2004-02-10 15:53:24
re(4): Solution FINAL WORDBrian Smith2004-02-10 15:13:44
re(3): Solution FINAL WORD(by CharlieAdy TZIDON2004-02-10 14:50:41
re(2): Solution FINAL WORDCharlie2004-02-10 13:30:02
re(2): Solution - not yet?Charlie2004-02-10 13:24:41
QuestionIs this right ?Penny2004-02-10 13:02:43
Some Thoughtsre: Solution FINAL WORDAdy TZIDON2004-02-10 13:01:06
re(3): Game, set and match !!!!SilverKnight2004-02-10 12:14:34
re(2): Game, set and match !!!!Penny2004-02-10 12:08:54
re: Game, set and match !!!!SilverKnight2004-02-10 11:39:29
Game, set and match !!!!Penny2004-02-10 11:31:50
re: Solution - not yet?SilverKnight2004-02-10 11:26:26
re(3): solutionSilverKnight2004-02-10 11:13:33
re(4): my solutionAdy TZIDON2004-02-10 11:12:54
re: Solution - I'll drink to thatAdy TZIDON2004-02-10 11:10:41
re(3): my solutionCharlie2004-02-10 11:07:22
re(2): solutionCharlie2004-02-10 11:00:46
re(2): solutionAdy TZIDON2004-02-10 11:00:42
re(2): my solutionAdy TZIDON2004-02-10 10:58:51
SolutionBrian Smith2004-02-10 10:58:38
re: solutionSilverKnight2004-02-10 10:56:23
Some Thoughtsre: solutionAdy TZIDON2004-02-10 10:55:19
re: solutionPenny2004-02-10 10:52:13
re: my solutionCharlie2004-02-10 10:52:08
Hints/TipsPenny u r overlooking something again :-(Ady TZIDON2004-02-10 10:47:56
SolutionsolutionCharlie2004-02-10 10:45:08
Solutionmy solutionAdy TZIDON2004-02-10 10:33:08
SolutionSolution, unless I am overlooking something again :-(Penny2004-02-10 10:20:37
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information