if two sets A and B are having 99 elements in common, then the number of elements common in each of the sets A x B and B x A are
Dear
A and b having 99 elements in common .
Then number of elements common to each of the sets a × b and b × a = 99 × 99
= (99)² = 9801 .
Actually, you can see choose 99 elements which are common to both a and b in 99 ways separately in both the cases .
And when you will multiple these you will get the same number of elements e.g., a × b = (99)² and b × a = (99)²
So, the answer is 99² = 9801
Regards
A and b having 99 elements in common .
Then number of elements common to each of the sets a × b and b × a = 99 × 99
= (99)² = 9801 .
Actually, you can see choose 99 elements which are common to both a and b in 99 ways separately in both the cases .
And when you will multiple these you will get the same number of elements e.g., a × b = (99)² and b × a = (99)²
So, the answer is 99² = 9801
Regards