In how many different ways can we arrange three letters A, B, and C? There are three candidates for the third position that leaves the two remaining letters for the second position and so 3 times 2 is 6 and One is the multiplicative identity I am astonished by The commutative property of multiplication because it seems as if the system were thought up in some very convenient way. I mean How do you get any two numbers when multiplied or added together in either order to be the same number? I am simply astonished! Math is so very elegant! How does the mathematics system know these things. Albert Einstein stated that nature reveals an intelligence of such superiority that compared with it all the systematic thinking and acting of human beings is an utterly insignificant reflection. 3 times 2 times 1 or 1 times 2 times 3 For 3! how does the commutative property apply?