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How many relations are possible from a set A of 'm' elements to another set B of 'n' elements?
Ans: A relation R from a set A to other set B is specified as any subset of A x B. If |A| = m and |B| = n, after that |A x B| =mn and thus number of possible subsets of A x B = 2mn. Every subset is a relation from A to B. So there are 2mn dissimilar types of relations from A to B.
Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8
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