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| Title: | Mathematics at DEC | 
|  | 
| Moderator: | RUSURE::EDP | 
|  | 
| Created: | Mon Feb 03 1986 | 
| Last Modified: | Fri Jun 06 1997 | 
| Last Successful Update: | Fri Jun 06 1997 | 
| Number of topics: | 2083 | 
| Total number of notes: | 14613 | 
Hi,
	My friends asked me the following and I got no idea to solve it. So
I need some help. The problem is :
There are two sets x and y
x = {0, 1, 2} X {0, 1, 2, 3, 4} X {0, 1, 2, ..., 6}
y = {0, 1, 2, 3, ..., 104}
Now, there is an operator || such that
	|x | = |y |
What is this operator || ?
	Can anyone help me ? Thank you
-- Joseph
| T.R | Title | User | Personal Name
 | Date | Lines | 
|---|
| 1496.1 |  | UNTADC::TOWERS |  | Tue Sep 24 1991 06:54 | 5 | 
|  |     There are 3x5x7 = 105 elements in set X and 105 elements in set Y.
    
    |X| is the number of elements in set X.
    
    Brian
 | 
| 1496.2 | another possibility | CORREO::BELDIN_R | Pull us together, not apart | Tue Sep 24 1991 10:11 | 1 | 
|  |     Or a linearization mapping.
 | 
| 1496.3 |  | HANNAH::OSMAN | see HANNAH::IGLOO$:[OSMAN]ERIC.VT240 | Thu Sep 26 1991 16:54 | 14 | 
|  | This seems like one of those ill-defined-not-thought-out problems that
should be take out and shot.
The first digit in each set is "0" so why can't an answer be
	|S| = first-digit appearing in first element of the set
For that matter, why can't we just say
	|S| = 7
That definition certainly produces the same value for sets X and Y, namely
7.
 | 
| 1496.4 |  | VAXRT::BRIDGEWATER | Eclipsing the past | Fri Sep 27 1991 13:41 | 9 | 
|  | >The first digit in each set is "0" so why can't an answer be
>
>	|S| = first-digit appearing in first element of the set
Sets are usually not taken to be ordered sets unless stated explicitly.
However, I agree with you that this problem is not well-defined.
- Don
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| 1496.5 | trivia comment | STAR::ABBASI |  | Fri Sep 27 1991 14:22 | 1 | 
|  |     if a set is ordered, it is called a list.               
 |