set theory-Function

2006-10-29 6:48 am
math questions
Y^X denote the set of functions from X to Y
if the no. of element of X is n and that of Y is m,
then wt is the no of elements f Y^X?

可唔可以解釋下
我知既係 有一個set contain d functions from X to Y
但係佢同n,m兩個no 有咩關係?

回答 (2)

2006-10-30 11:49 am
✔ 最佳答案
math questions
Y^X denote the set of functions from X to Y
if the no. of element of X is n and that of Y is m,
then wt is the no of elements f Y^X?
條題目說有兩個集X和Y
X有n個元素﹐Y有m個元素
令f是由X到Y的映射﹐問這樣的f可以有多少個?
考慮到對每一個X中的元素a﹐它可以對應到Y中m個元素中的任意一個
而X有n個元素﹐所以這樣的f可以有
m*m*m*m*m...*m (n個)=m^n
參考: 陳一理著:組合
2006-10-29 7:06 am
大耐之前學既野 , 唔記得d符號點寫 ,
answer =
(m 和 n) 的和 減去 (m 和 n) 共同的數量 .


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