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![[Post New]](/templates/default/images/icon_minipost_new.gif) 21 Mar 2008 18:28:05 IST
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how to find no of onto function>. jaise hum tottal functions ke liye no of elements in codomain ki power no of elements in domain karte hai. aise hi koi method.. illustrate wiyth an example???????\ happy holi all the best cheers
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21 Mar 2008 18:29:45 IST
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post in english
will u understand if i say "naiye tamil la poddu da" ??
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Nitwit Blubber Odment Tweak
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21 Mar 2008 18:32:21 IST
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ok brother
tell me the way how to find the no of onto functions
illustrate with an example
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21 Mar 2008 18:36:25 IST
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help me
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21 Mar 2008 18:36:40 IST
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1st of all in this case in the question domain n codomain shud be mentioned...
suppose codomain is all non-negative Reals
then y=x^2 is an onto function as range is also non-negative reals..
but if co-domain is all real val(neg n pos n 0)
then y=x^2 is 'into' as range is non-neg reals only..
tht is there exists values in the codomain which do not act as a mapping for ne value of x..
i.e in this case for neg values of y..no x exixts hence its into
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Nitwit Blubber Odment Tweak
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21 Mar 2008 18:38:34 IST
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dude i know all that
what i want to know is that formula in which we use combinationts to get them
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21 Mar 2008 18:42:16 IST
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if n(A)=n(B) then no. of functions= r^n - rC1(r-1)^n + rC2(r-2)^n.....
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An army of sheep led by a lion would defeat an army of lions led by a sheep.
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21 Mar 2008 18:42:50 IST
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the above is for onto functions
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An army of sheep led by a lion would defeat an army of lions led by a sheep.
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21 Mar 2008 18:44:48 IST
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it is possible iff n(A)>=n(B)
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An army of sheep led by a lion would defeat an army of lions led by a sheep.
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