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Math Help - functions

  1. #1
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    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?
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  2. #2
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    Re: functions

    Quote Originally Posted by kastamonu View Post
    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?
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  3. #3
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    Re: functions

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

    $f(1)=2,~3,~4,\text{ or }5$
    Last edited by Plato; March 24th 2014 at 02:16 AM.
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