Consider the binary operations*: R ΓR β and o: R Γ R β R defined as and a o b = a, &mnForE;a, b β R. Show that * is commutative but not associative, o is associative but not commutative. Further, show that &mnForE;a, b, c β R, a*(b o c) = (a * b) o (a * c). [If it is so, we say that the operation * distributes over the operation o]. Does o distribute over *? Justify your answer.