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#864702 - 01/28/13 08:06 AM Pair 'em up!
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15934
Loc: Ottawa Ontario Canada
The 9 digits: 1,2,3,4,5,6,7,8,9

PAIR = 2 digits in ascending order; example 37 ; 1st digit < 2nd digit
So there are 36 PAIRs using the 9 digits:
12, 13, 14, ... , 78, 79, 89

3DN = 3 digit number, digits in ascending order; example 238 ; 1st digit < 2nd digit < 3rd digit
So there are 84 3DNs using the 9 digits:
123, 124, 125, ... , 679, 689, 789

A 3DN contains 3 PAIRs; example: 238 contains 23, 28 and 38

Your mission:
find 12 3DNs that together will contain all 36 PAIRs.
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I got both my feet firmly planted in mid-air !

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#864853 - 01/28/13 11:11 PM Re: Pair 'em up! [Re: CanukDenis]
Flo NS Offline
Addicted Boomer

Registered: 04/11/06
Posts: 4575
Loc: Nova Scotia
Here ya go.

123 - 145 - 167 - 189 - 247 - 258 - 269 - 349
356 - 378 - 468 - 579

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#864854 - 01/28/13 11:23 PM Re: Pair 'em up! [Re: CanukDenis]
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15934
Loc: Ottawa Ontario Canada
Nice Flo! Mine were:
123-147-159-168-249-258
267-348-357-369-456-789
_________________________
I got both my feet firmly planted in mid-air !

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#864859 - 01/29/13 02:29 AM Re: Pair 'em up! [Re: CanukDenis]
Flo NS Offline
Addicted Boomer

Registered: 04/11/06
Posts: 4575
Loc: Nova Scotia
Not many alike, I'm glad you didn't want all the same ones, it took long enough to figure that combination out.

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#864886 - 01/29/13 07:46 AM Re: Pair 'em up! [Re: CanukDenis]
Cue Offline
Adept Boomer

Registered: 04/07/03
Posts: 13192
Loc: The Outer Limits
Good one, Flo bravo

I worked on that for a while and kept coming up with a couple left overs! woozy
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Did you ever stop to think and then forget to start again?

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#864945 - 01/29/13 11:56 AM Re: Pair 'em up! [Re: CanukDenis]
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15934
Loc: Ottawa Ontario Canada
I started this way:
Step 1: do 123, 456, 789
Step 2: do 147, 258, 369
_________________________
I got both my feet firmly planted in mid-air !

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