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A set A={1,2,3} have total no of binary operations =19683.but +,-,×,÷are not the binary operation on the given set .then what are these19683 binary operations

A set A={1,2,3} have total no of binary operations =19683.but +,-,×,÷are not the binary operation on the given set .then what are these19683 binary operations

Grade:11

1 Answers

Arun
25750 Points
5 years ago

Total no.of binary operations on a set consisting 'n' elements is given by n^(n^2) (n raised to n square).

For your question, the set has 3 elements. So the total no.of B.O is 3^9.

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