求教二个数学题

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

多谢

所有跟帖： 

• 对第二题不熟悉。只做第一题 -魁北克人- ♂ (835 bytes) () 01/26/2014 postreply 13:32:20

• 第二题 -乱弹- ♂ (1374 bytes) () 01/26/2014 postreply 15:51:50

• 关于第一题的一点看法 -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

• 回复：求教二个数学题 -PCGuy- ♂ (0 bytes) () 03/18/2014 postreply 16:06:37

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