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functions

jacks

Well-known member
Apr 5, 2012
226
If $A = \left\{1,2,3,4,5,6\right\}$ and $B = \left\{a,b,c,d,e\right\}$. Then Total no. of


$(1)$ onto function from $A$ to $B$


$(2)$ into function from $A$ to $B$


$(3)$ Constant function from $A$ to $B$


Plz explain it breifly


"Thanks"
 

Plato

Well-known member
MHB Math Helper
Jan 27, 2012
196
If $A = \left\{1,2,3,4,5,6\right\}$ and $B = \left\{a,b,c,d,e\right\}$. Then Total no. of
$(1)$ onto function from $A$ to $B$
$(2)$ into function from $A$ to $B$
$(3)$ Constant function from $A$ to $B$
For #1 use inclusion/exclusion to figure the answer.

In #2 how is into used? There are $5^6$ functions from a set six to a set of five.

For #3 think what it means to be a constant function.