1.

2 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

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



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