01-04-2006, 11:05 AM
I was looking for solutions, but they were all a little too geometrical for me. But here is proof that there is at least one solution:
The number of combinations of 4 cards shown from 52 cards (in one of 24 orderings) is:
(52 choose 4) * 24.
The number of combinations of 5 unsorted cards picked from 52 cards is (52 choose 5).
You can see that these are vastly different amounts. For 124 cards, they are equal, indicating one unique solution.
Numerically, I'm still stumped as to how to solve this problem however...
The number of combinations of 4 cards shown from 52 cards (in one of 24 orderings) is:
(52 choose 4) * 24.
The number of combinations of 5 unsorted cards picked from 52 cards is (52 choose 5).
You can see that these are vastly different amounts. For 124 cards, they are equal, indicating one unique solution.
Numerically, I'm still stumped as to how to solve this problem however...
Peace cannot be obtained without war. Why? If there is already peace, it is unnecessary for war. If there is no peace, there is already war."
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Visit www.neobasic.net to see rubbish in all its finest.