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 Community Discussion Question:
trythis
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 15 Apr 2008 17:52:32 IST
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let A={1,2,3,..N} B={a,b,c} then number of onto functions?
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15 Apr 2008 17:53:27 IST
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sriram check your nudge book
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15 Apr 2008 19:45:07 IST
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pls help
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15 Apr 2008 20:39:50 IST
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For onto Range = Co-domain
All three values of B must be used in the set defined by the function.
Total no. functions = 3^N
No. of functions in which only 2 elements of set B are used = 2^N *3
No. of functions in which only 1 element of set B is used = 1^N * 3 = 3
So total onto functions = 3^N - 3.2^N -3
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