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  virus: The mathematics of group sexual activity: Continued from last night's chat with rhino and Jonesey.
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   Author  Topic: virus: The mathematics of group sexual activity: Continued from last night's chat with rhino and Jonesey.  (Read 459 times)
Walter Watts
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virus: The mathematics of group sexual activity: Continued from last night's chat with rhino and Jonesey.
« on: 2004-07-05 01:02:32 »
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The mathematics of group sexual activity: Continued from last night's
chat with rhino and Jonesey.
--------------------------------------------------------------
[20:24] [WW] did you know there are 720 possible combinations of sexual
encounters with only 6 people?
[20:25] [WW] if they are all bi and into different size groups
[20:25] <rhino>    hmm, did you include combinations by 2,3,4,5, and 6?
[20:25] <rhino>    oh, by 1 too
[20:26] [WW] rhino, I've become totally irrelevant again. That's usually
my signal to go, isn't it?
[20:26] <rhino>    no, why. it is math?
[20:26] <rhino>    applied math even
19:30:58    rhino    strange. i got 63 combinations total
19:31:38    rhino    6 in combinations of 1 = 6
19:31:49    rhino    6 in combinations of 2 = 15
19:32:01    rhino    6 in combinations of 3 = 20
19:32:10    Jonesey    yeah it should be a power of 2 minus 1
19:32:12    rhino    6 in combinations of 4 = 15
19:32:13    Jonesey    720 doesn't work
19:32:24    rhino    6 in combinations of 5 = 6
19:32:28    rhino    6 in combinations of 6 = 1
19:32:32    rhino    total 63
19:32:41    Jonesey    in this case 2^6-1
19:32:49    rhino    yes
19:33:00    Jonesey    2^6 is the size of the power set(set of all
subsets) of a set of 6
19:33:10    Jonesey    but the null set is useless in this particular
application
19:33:14    Jonesey   
19:33:21    Jonesey    so have to minus 1
19:34:00    rhino    you got there faster but i figured out the action


No, fellows, it's 6!, or 6x5x4x3x2x1 = 720 unique combinations

see      http://mathworld.wolfram.com/Factorial.html      or think of it
this way:

Put a number 1 through 6 on each person's head, then let the sexual
combinations fly:

123456
12345
1234
123
12
13
14
15
16
17
18
19
22
23
24
25
26
27
28
29
33
34
35
36
37
38
39
44
45
46
47
48
49
55
56
57
etc., etc., etc., etc.

then we could jump to, say,
124
125
126
127
128


I think you know where this is headed, and it's way more than 63      ;p

Walter
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Walter Watts
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My point is ...

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Re:virus: The mathematics of group sexual activity: Continued from last night's
« Reply #1 on: 2004-07-05 07:48:28 »
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[Walter]
No, fellows, it's 6!, or 6x5x4x3x2x1 = 720 unique combinations

see      http://mathworld.wolfram.com/Factorial.html      or think of it
this way:

Put a number 1 through 6 on each person's head, then let the sexual
combinations fly:
<snip>


[rhinoceros]
You got us there Walter!
The subtle point we missed was that when you have, say, 6 persons and you do all the combinations of 3 persons, each combination of 3 persons has many options available ;-)

In fact the number may be much greater than 720 if you don't just put them in a line.

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