时间Fri Apr 15 22:41:38 2011
: 1. C 2n取n-1:C 2n-2取n=132:35 求n值?
2n (2n)(2n-1)(2n-2)! 2n-2 (2n-2)!
35xC = 35x------------------------ = 132xC = 132x----------
n-1 (n+1)(n)!(n-1)(n-2)! n (n-2)!n!
(2n)(2n-1)
=> 35x------------ = 132 => 35(4n^2-2n) = 132(n^2-1) => 140n^2-70n = 132n^2-132
(n+1)(n-1)
=> 8n^2-70n+132=0 => 4n^2-35n+66=0 => (n-6)(4n-11)=0 => n = 6
: 2. P n+2取4:P 8取n=1:2 n=?
8 n+2 8! (n+2)! 8x7x6x5x4x3
P = 2xP => -------- = 2x-------- = 2(n+2)(n+1)(n)(n-1) => ------------- = (n+2)(n+1)(n)(n-1)
n 4 (8-n)! (n-2)! (8-n)!
8x7x6x5x4x3 = (n+2)(n+1)(n)(n-1)(8-n)! 无解??
: 3. 渡船4艘,每艘最多可载5人
: 7人同时过渡,安全过渡的方法数?
有大大在推文中解了~
: 谢谢各位大大,让我问那麽多题而没有嘘我
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