Links
全國高中數學科網頁
多媒體 RSS
圖集
Disclaimer
The opinions expressed herein are my own personal opinions and do not represent anyone else's view in any way, including those of my employer.
© Copyright 2013
The opinions expressed herein are my own personal opinions and do not represent anyone else's view in any way, including those of my employer.
© Copyright 2013
意義(4): x +y +z =5 的非負整數解有 組。
如第一篇【重複組合】基本觀念介紹 (一) 把 歸類:
|
分類 |
舉例 |
不盡相異物之直線排列 |
分出去 |
方法數 |
|
5同 |
aaaaa |
♣ ♣ ♣ ♣ ♣ ¦ ¦ |
x=5、y=0、z=0 |
3 |
|
4同1異 |
aaaab |
♣ ♣ ♣ ♣ ¦ ♣ ¦ |
x=4、y=1、z=0 |
6 |
|
3同2同 |
aaabb |
♣ ♣ ♣ ¦ ♣ ♣ ¦ |
x=3、y=2、z=0 |
6 |
|
3同2異 |
aaabc |
♣ ♣ ♣ ¦ ♣ ¦ ♣ |
x=3、y=1、z=1 |
3 |
|
2同2同1異 |
aabbc |
♣ ♣ ¦ ♣ ♣ ¦ ♣ |
x=2、y=2、z=1 |
3 |
|
總計 |
|
|
|
|
以上5類的總數就是= ，所以得到結論，
XHTML:
More Options ...
Categories
Tag Cloud
Blog RSS
Comments RSS
Void (Default)
Life
Earth
Wind
Water
FireLightweight
Previous: 
Next: 
Comment Meta:
Last 50 Posts 
Back