Question

Let ( A={2,3,4,5} ) and ( B={a, b, c} ) a) Find the Cartesian Product ( A B ) ( b) Write the formula, then use it to find ( n(A B) ).

Answer 1

The Cartesian Product of sets A and B is a set of all ordered pairs. The number of elements in the Cartesian Product can be found using a formula.

Step-by-step explanation:

The Cartesian Product of sets A and B is the set of all ordered pairs where the first element belongs to set A and the second element belongs to set B. For example, if A={2,3,4,5} and B={a,b,c}, then the Cartesian Product (A x B) is {(2,a), (2,b), (2,c), (3,a), (3,b), (3,c), (4,a), (4,b), (4,c), (5,a), (5,b), (5,c)}.

The formula to find the number of elements in a Cartesian Product is n(A x B) = n(A) * n(B). In this case, n(A) = 4 and n(B) = 3. So, n(A x B) = 4 * 3 = 12.