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Numbered Discs 2
Problem
Using discs numbered 1 to 6, it is possible to place the discs in two bags, such that no bag contains its double in exactly four different ways:
| {1,3,4} | {2,5,6} |
| {1,3,4,5} | {2,6} |
| {1,4,6} | {2,3,5} |
| {1,4,5,6} | {2,3} |
If you had discs numbered 1 to 10, how many ways can you separate the discs into the two bags such that no bag contains its double?
Problem ID: 164 (Apr 2004) Difficulty: 2 Star
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