if relation r1 and r2 from set A to set B are defined as r1{(1,2),(3,4),(5,6)} and r2 ={(2,1),(4,3),(6,5)}, then n(AXB)
91
Well, it appears that r1 = r2-1
so, what do you think?
How
Options are
a) 35
b)91
c) 53
d) 55
Kindly help and its very urgent
To find the cardinality of the Cartesian product A x B, where A and B are sets, we need to determine the number of possible ordered pairs that can be formed by combining elements from A and B.
Given that set A is defined as {1, 3, 5} and set B is defined as {2, 4, 6}, we can find the Cartesian product A x B by pairing each element from set A with every element from set B.
For example, taking the first element of A, which is 1, and combining it with each element from B, we get the ordered pairs (1, 2), (1, 4), and (1, 6). Similarly, we can pair the other two elements from A with the elements from B to obtain additional ordered pairs.
The Cartesian product A x B, in this case, would be:
A x B = {(1, 2), (1, 4), (1, 6), (3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5, 6)}
Now, to find the cardinality (n) of this set, we simply count the number of elements in the set. In this case, there are 9 ordered pairs, so n(AXB) = 9.