This set of Discrete Mathematics Quiz focuses on “Cartesian Product of Sets”.1. Let set A = {1, 2} and C be {3, 4} then A X B (Cartesian product of set A and B) is?a) {1, 2, 3, 4}b) {(1, 3),(2, 4)}c) {(1, 3), (2, 4), (1, 4), (2, 3)}d) {(3, 1), (4, 1)}
Question
This set of Discrete Mathematics Quiz focuses on “Cartesian Product of Sets”.1. Let set A = {1, 2} and C be {3, 4} then A X B (Cartesian product of set A and B) is?a) {1, 2, 3, 4}b) {(1, 3),(2, 4)}c) {(1, 3), (2, 4), (1, 4), (2, 3)}d) {(3, 1), (4, 1)}
Solution
Para resolver el producto cartesiano de los conjuntos A y C, seguimos estos pasos:
-
Identificamos los elementos de los conjuntos A y C:
- A = {1, 2}
- C = {3, 4}
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El producto cartesiano A X C consiste en todos los pares ordenados posibles (a, c) donde a pertenece a A y c pertenece a C.
-
Formamos los pares ordenados:
- (1, 3)
- (1, 4)
- (2, 3)
- (2, 4)
-
Listamos todos los pares ordenados en un conjunto:
- A X C = {(1, 3), (1, 4), (2, 3), (2, 4)}
Por lo tanto, la respuesta correcta es: c) {(1, 3), (2, 4), (1, 4), (2, 3)}
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