Consider a binary operation * on the set {1,2,3,4,5} given by the following multiplication table

(1) compute (2*3)*4 and 2*(3*4)
(2) Is * commutative
(3) compute (2*3)*(4*5)
(hint: use the following table)
table
* 1 2 3 4 5
1 1 1 1 1 1
2 1 2 1 2 1
3 1 1 3 1 1
4 1 2 1 4 1
5 1 1 1 1 5