If A = {1,2,3}. Find n(A x A x A)

The set A x A x A represents the Cartesian product of set A with itself three times. This means we are looking at all possible ordered triples (a, b, c) where a, b, and c are elements of set A.

Set A has 3 elements: {1,2,3}.

In a Cartesian product, each element of the first set is paired with each element of the second set (and in this case, the third set as well).

So, for each element in set A, there are 3 possible pairs in A x A, and for each of these pairs, there are 3 possible triples in A x A x A.

Therefore, the number of elements in A x A x A, denoted as n(A x A x A), is 333 = 27.

The set A x A x A represents the Cartesian product of set A with itself three times. This means we are looking at all possible ordered triples (a, b, c) where a, b, and c are elements of set A.

Set A has 3 elements: {1,2,3}.

In a Cartesian product, each element of the first set is paired with each element of the second set (and in this case, the third set as well).

So, for each element in set A, there are 3 possible pairs in A x A, and for each of these, there are 3 possible pairs in A x A x A.

Therefore, the number of elements in A x A x A, denoted as n(A x A x A), is 333 = 27.