Let B be a set of m distinct elements. A binary operation * on B can...

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Let B be a set of m distinct elements. A binary operation * on B can be thought of as a function *: B x B -> B. a. Compute the number of distinct binary operations on B b. A binary operation is said to be commutative if *(x,y)=*(y.x) for all (x,y) in B x B. Compute the number of commutative binary operations on B. Let B be a set of m distinct elements. A binary operation * on B can be thought of as a function *: B x B -> B. a. Compute the number of distinct binary operations on B b. A binary operation is said to be commutative if *(x,y)=*(y.x) for all (x,y) in B x B. Compute the number of commutative binary operations on B.

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a To define a binary operation on B we need to specify the output for every possible pair of inputs ... View the full answer