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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