what is the number of binary operations on the set {a,b} and how?
Asked by | 9th May, 2008, 08:26: PM
Expert Answer:
The number of functions from a set with m elements to a set with n elements is nm.
Binary operation is also a function from a set Sx S to S.
So, The number of binary operations on the set S with n elements is (nn)^2
So , the number of binary operations on the set {a,b} with 2 elements is( 22)^2 = 2 4
Answered by | 27th Sep, 2008, 06:30: PM
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