1. A committee of 3 teachers are to select the winner from among ten students nominated for special award. The teachers each make a list of their top three choices in order, the lists have only one name in common, and that name has a different rank on each list. in how many ways could the teachers have made their list?
2. In how many ways could a class of 18 students divide into groups of 3 students?
Urgent
Thanks in advance
中學數學問題,請幫忙
所有跟帖:
• 回複:中學數學問題,請幫忙 -ziseyanzi- ♂ (76 bytes) () 02/18/2007 postreply 23:43:20
• 到腦筋急轉壇也去發個帖吧,他們那邊的數學家們都閑得發慌了。 -太平洋- ♂ (0 bytes) () 02/19/2007 postreply 06:31:35
• P(3) × C(10, 3); C(18, 3) -ppzcgg- ♀ (5 bytes) () 02/19/2007 postreply 09:08:18
• thanks -donz94086- ♂ (0 bytes) () 02/19/2007 postreply 20:00:18
• haha, misread one info. The revised answer --> -ppzcgg- ♀ (520 bytes) () 02/21/2007 postreply 10:50:31
• 2) C(18, 3) × C(15, 3) × C(12, 3) × C(9, 3) × C(6, 3) × C(3 -ppzcgg- ♀ (82 bytes) () 02/21/2007 postreply 11:45:40
• P(3)*C(3,10)*C(1,3)*C(2,7)*C(2,5) -中國民航- ♂ (419 bytes) () 02/20/2007 postreply 21:56:36