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?
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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?
1+f(1)=<6 f(1)=<5 How do you assign 1 in 4 ways? $f(1)=2,~3,~4,\text{ or }5$
Last edited by Plato; March 24th 2014 at 03:16 AM.
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