Let *′ be the binary operation on the set {1, 2, 3, 4, 5} defined by

Let ′ be the binary operation on the set {1, 2, 3, 4, 5} defined by a ′ b = H.C.F. of a and b. Is the operation ′ same as the operation defined in Exercise 4 above? Justify your answer.

Answer»

The binary operation *′ on the set {1, 2, 3 4, 5} is defined as a *′ b = H.C.F of a and b.

The operation table for the operation *′ can be given as:

We observe that the operation tables for the operations * and *′ are the same. Thus, the operation *′ is same as the operation*