Question

If the two sets A and B are having 43 elements in common then the number of elements common to each of the sets A×B and B×A

Answer 1

Answer:

the answer is 1829

Step-by-step explanation:

the square of common elements..

Answer 2

The number of elements common to each of the sets A×B and B×A is 1849.

Explanation:

According to the properties of Cartesian product of sets:

If the two sets P and Q are two non-empty sets having n elements in common , then P x Q and  Q x P have n² elements in common.

Therefore ,

if  the two sets A and B are having 43 elements in common then the number of elements common to each of the sets A×B and B×A would be :

$43^2 = 43\times43=1849$

Hence, the number of elements common to each of the sets A×B and B×A is 1849.

# Learn more :

sets a and b are having 99 elements in common then no of elements common to each of the sets a×b and b×a

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