Question

If two a and b sets have 99 elements .proved that a×b have 99×99 elements.

Answer 1

HEY DEAR ... ✌️

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Here's , ur answer :-




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, tbe answer should be 99² = 9801


HOPE , IT HELPS ... ✌️

Answer 2

Answer 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, tbe answer should be 99² = 9801

hope this helps