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If (|A|=4) and (|B|=3), what are the numbers of all relations and all functions from (A) to (B), respectively?

Answer and explanation

Correct answer: (2^{12}) and (3^4)

Total relations are (2^{|A||B|}=2^{12}), and total functions are (|B|^{|A|}=3^4). The formulas for relations and functions are different.

Related tags

Relations Vs FunctionsCountingCartesian ProductFunctions As A Special Kind Of RelationRelations And FunctionsMathematicsClass 11 Mcq

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