[1.10" MORE RESULTS ON OPERATIONS ON SETS "],[" THEOREM "1" .If "A" and "B" are any forvers then "]

Number of binary operations on the set {a, b} is

Number of binary operations on the set {a,b} are

Find the number of binary operations on the set {a, b}.

Find the number of binary operations on the set {a,b}.

Number of binary operations on the set {a, b} is :

Determine whether a**b = a+ b-ab "on" R-{1} operations as defined by * are binary operations on the sets specified in each case. Give reasons if it is not a binary operation.

Theorem 5 (If A sube B; Show that A xx C sube B xx C for any set C