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![[Post New]](/templates/default/images/icon_minipost_new.gif) 1 Feb 2008 12:13:56 IST
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S is a set with "n" elements n>0.the no. of binary operations that can be defined in S?
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 1 Feb 2008 12:14:54 IST
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2^n
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 1 Feb 2008 12:16:55 IST
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i have asked binary operations not functions. the ans is n ^n^2
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 3 Feb 2008 12:47:37 IST
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hii
yaar whats the question .. i am a bit non clear about it .. wat do u want to knw .. a set with numebrs like .. 1,2,3, ... n .. thn wat is the concept of bin operators ..
i am probably misunderstanding the question ..
cheers
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Puneet Agrawal
IIT Delhi
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 3 Feb 2008 15:15:11 IST
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to define a binary operation , we have to define the values the operation takes for all values (x,y) where x,y belongs to S
this means that n*n operations have to be defined.
Each of the operations can take n values.
So total no. of operations = nn2
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