Discrete Math

Let A = {a, b, c} and B = {0,1}. Answer the following.

a) What is B ⨯ A ? Specify the set by listing elements.

b) What is A ⨯ B ? Specify the set by listing elements.

c) Explain why |B ⨯ A| = |A ⨯ B| even though B ⨯ A ≠ A ⨯ B ?