Q.

Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A x B each having at least 3 and at most 6 elements is        [2023]

1 752  
2 792  
3 772   
4 782  

Ans.

(2)

Given, n(A)=5,n(B)=2 

    n(A×B)=10 

    Required number of subsets=10C3+10C4+10C5+10C6

= 120+210+252+210 = 792