求教二個數學題

1、Several football teams enter a tournament in which each team plays every other team exactly once. Show that at any moment during the tournament there will be two teams which have played, up to that moment, an identical number of games.

2、 (A) list the partitions of 8 into distinct terms
       (B) list the partitions of 8 into odd terms
       (C) Prove that the number of partitions of a positive integer n into distinct terms is equal to the number of partitions of n into odd terms, using the case n=8 for illustration

多謝

所有跟帖： 

• 對第二題不熟悉。隻做第一題 -魁北克人- ♂ (835 bytes) () 01/26/2014 postreply 13:32:20

• 第二題 -亂彈- ♂ (1374 bytes) () 01/26/2014 postreply 15:51:50

• 關於第一題的一點看法 -wxcfan123- ♂ (533 bytes) () 01/26/2014 postreply 18:42:18

• Thank you so much three genius...... -xixiqian- ♀ (45 bytes) () 01/26/2014 postreply 20:08:07

• 回複：求教二個數學題 -PCGuy- ♂ (0 bytes) () 03/18/2014 postreply 16:06:37

• n個隊有n（n-1）/2 -PCGuy- ♂ (0 bytes) () 03/18/2014 postreply 16:08:01