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 The odds stay unchanged (Posted on 2004-06-17)
On a certain island each of the inhabitants is a member of one of the two existing clubs.

The membership distribution is such that when two random people meet, the probability of those two belonging to the same club is equal to the probability of them belonging to distinct clubs.

When 100 newcomers arrive on the island and each enrolls in one of the two clubs, the distribution still retains this feature. How many people belong to either club?

 Subject Author Date Puzzle Solution K Sengupta 2008-05-27 15:50:58 Answer K Sengupta 2008-05-23 06:14:12 full solution Bon 2004-07-12 17:24:56 che?? vije 2004-07-07 13:22:37 re: generalisation ==> author's remarks Ady TZIDON 2004-06-20 11:00:07 More about generalization: Gamer 2004-06-19 18:27:45 Another Approach Gamer 2004-06-18 23:22:00 re(2): ution - NON trivial solution Ady TZIDON 2004-06-17 18:23:25 re: Non-trivial answer by brute force Dan Blume 2004-06-17 16:28:30 re: Non-trivial answer by brute force - sorry, no Thalamus 2004-06-17 16:25:12 Non-trivial answer by brute force Dan Blume 2004-06-17 16:18:08 re(2): A trivial solution - NON trivial solution SilverKnight 2004-06-17 15:51:30 re: A trivial solution - NON trivial solution Erik O. 2004-06-17 15:41:35 A trivial solution Erik O. 2004-06-17 15:13:39 hints - partial solution Erik O. 2004-06-17 14:41:36 re(2): First meeting (hint) Dan Blume 2004-06-17 14:00:50 re: Possibility? (spoiler?) Charlie 2004-06-17 13:57:38 re: Possibility? (spoiler?) SilverKnight 2004-06-17 13:57:26 Possibility? (spoiler?) Richard 2004-06-17 13:54:38 re: First meeting (hint) Thalamus 2004-06-17 13:54:02 First meeting Dan Blume 2004-06-17 13:45:24

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