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Pair 'em up! #864702
01/28/13 09:06 AM
01/28/13 09:06 AM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline OP
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CanukDenis  Offline OP
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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.


I'm a man of few words, BUT I use 'em often!!
Re: Pair 'em up! [Re: CanukDenis] #864853
01/29/13 12:11 AM
01/29/13 12:11 AM
Joined: Apr 2006
Posts: 4,944
Nova Scotia
Flo NS Offline
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Here ya go.

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

Re: Pair 'em up! [Re: CanukDenis] #864854
01/29/13 12:23 AM
01/29/13 12:23 AM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline OP
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CanukDenis  Offline OP
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Nice Flo! Mine were:
123-147-159-168-249-258
267-348-357-369-456-789


I'm a man of few words, BUT I use 'em often!!
Re: Pair 'em up! [Re: CanukDenis] #864859
01/29/13 03:29 AM
01/29/13 03:29 AM
Joined: Apr 2006
Posts: 4,944
Nova Scotia
Flo NS Offline
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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.

Re: Pair 'em up! [Re: CanukDenis] #864886
01/29/13 08:46 AM
01/29/13 08:46 AM
Joined: Apr 2003
Posts: 17,630
The Outer Limits
Cue Offline
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Good one, Flo bravo

I worked on that for a while and kept coming up with a couple left overs! woozy


Did you ever stop to think and then forget to start again?
Re: Pair 'em up! [Re: CanukDenis] #864945
01/29/13 12:56 PM
01/29/13 12:56 PM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline OP
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CanukDenis  Offline OP
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Posts: 18,719
Ottawa Ontario Canada
I started this way:
Step 1: do 123, 456, 789
Step 2: do 147, 258, 369


I'm a man of few words, BUT I use 'em often!!
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