Recent questions tagged binary-operation

1 votes
2 answers
1
Find inverse in a*b=a+b-ab for all a,b belongs to Q-{-1}. where Q is a rational number?please explain how the inverse will satisfy the equation of inverse(a*b=b*a=e)
0 votes
0 answers
4
43 votes
2 answers
5
The number of possible commutative binary operations that can be defined on a set of $n$ elements (for a given $n$) is ___________.
25 votes
2 answers
7
39 votes
4 answers
9
37 votes
8 answers
10
A logical binary relation $\odot$, is defined as follows: $$\begin{array}{|l|l|l|} \hline \textbf{A} & \textbf{B}& \textbf{A} \odot \textbf{B}\\\hline \text{True} & \text...
41 votes
10 answers
11
Consider the set \(\{a, b, c\}\) with binary operators \(+\) and \(*\) defined as follows:$$\begin{array}{|c|c|c|c|} \hline \textbf{+} & \textbf{a}& \textbf{b} &\textbf{c...
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