Question

If A = {1, 2, 3, 4} and B = {5, 6, 7,6}, then cardinal number of the set A×B is _____
Please give clear explanations...
Also tell that can we include the repetitive elements of the set while calculating the cardinal number??
i will mark as the Brainliest ✨​

Answer 1

Step-by-step explanation:

n(AxB) = n(A) x n(B) = 4x4 = 16

Each element is written once only. If you find (1,2) in A x B then you must not confuse your self.

(1,2) is different from (2,1).

Answer 2

Answer:

A = { 1,2,3,4} and B = { 5,6,7,6}

So,

AxB = { (1,5),(1,6),(1,7),(1,6),(2,5),(2,6),(2,7),(2,6),(3,5),(3,6),(3,7),(3,6),(4,5),(4,6),(4,7),(4,6)}

So, Cardinal number of AxB set is 12

And, no we cannot include repititive elements of the set while calculating cardinal number because by definition cardinal number is the number of distinct elements.