1. functions

A= (1,2,3)
B=(2,3,4,5)
for all aEA a+f(a)<=6
How many functions from A to B can we define?

2. Re: functions

Originally Posted by kastamonu
A= (1,2,3)
B=(2,3,4,5)
for all aEA a+f(a)<=6
How many functions from A to B can we define?
Well, we can assign 1 in four ways, assign 2 in three ways, and assign 3 in ? ways.

What is the product?

3. Re: functions

1+f(1)=<6
f(1)=<5
How do you assign 1 in 4 ways?

$f(1)=2,~3,~4,\text{ or }5$