Let A and B be two sets each containing three elements then number of subsets of $A \times B$ , each having at least two and at most 7 elements, is equal to____

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502

492

456

1002

answer is B.

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Detailed Solution

No of elements $A \times B = 9$
No of subsets of $A \times B$ with at least two & at most seven elements is
$^{9} C_{2} +^{9} C_{3} +^{9} C_{4} +^{9} C_{5} +^{9} C_{6} +^{9} C_{7} = 492$

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