中學數學問題,請幫忙

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

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回複:中學數學問題,請幫忙 -ziseyanzi- 給 ziseyanzi 發送悄悄話 (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- 給 太平洋 發送悄悄話 太平洋 的博客首頁 (0 bytes) () 02/19/2007 postreply 06:31:35

P(3) × C(10, 3); C(18, 3) -ppzcgg- 給 ppzcgg 發送悄悄話 ppzcgg 的博客首頁 (5 bytes) () 02/19/2007 postreply 09:08:18

thanks -donz94086- 給 donz94086 發送悄悄話 (0 bytes) () 02/19/2007 postreply 20:00:18

haha, misread one info. The revised answer --> -ppzcgg- 給 ppzcgg 發送悄悄話 ppzcgg 的博客首頁 (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- 給 ppzcgg 發送悄悄話 ppzcgg 的博客首頁 (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- 給 中國民航 發送悄悄話 (419 bytes) () 02/20/2007 postreply 21:56:36

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