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回复:回复:请教解数学题。

guest1000 2010-09-07 19:44:24 ( reads)

f($n,1) should be 1, which is a typo above.

We can see the formula after a few steps. Here is the trick.
f($n,1)=(n+1-1) choose 0 = 1
f($n,2)=(n+2-1) choose 1= n+1
f($n,3)=(n+3-1) choose 2 = (n+2)(n+1)/2
f($n,4)=(n+4-1) choose 3 = (n+3)(n+2)(n+1)/6

The answer to your second question should be (20)(19)(18)(17)(16)/24.

Am I wrong?

跟帖(12)

guest1000

2010-09-07 19:51:53

回复:回复:回复:请教解数学题。

皆兄弟也

2010-09-08 09:10:55

第二题答案是不是:C(16+3,3)+C(15+3,3)+...+C(1+3,3)+C(0+3,3)

jinjing

2010-09-08 09:35:30

I think we should change 16 to 20....we get C(24,4)=...

皆兄弟也

2010-09-08 10:00:33

how to understand: must be invested among 4 possible opportuniti

皆兄弟也

2010-09-08 10:03:46

even if we should change 16 to 20....we get C(21,4)=...

皆兄弟也

2010-09-08 10:07:18

sorry, C(21,4)=... wrong; C(24,4)=... right,if we should change

皆兄弟也

2010-09-08 10:09:50

you are right:C(20,4)=C(16+3,3)+C(15+3,3)+...+C(1+3,3)+C(0+3,3)

皆兄弟也

2010-09-08 10:37:04

第二题:What if not all money need be invested? 可这样理解:

皆兄弟也

2010-09-08 09:03:17

我认为,您的第一题答案是正确的。

guest1000

2010-09-08 12:31:24

回复:我认为,您的第一题答案是正确的。

皆兄弟也

2010-09-08 13:03:14

yes,您的第二题答案是正确的,as well。

皆兄弟也

2010-09-08 13:17:31

Put 16 balls in 5 bins, no matter 5 bins can be empty or not, wh