Question

A has 5 elements and B has 2 elements. The number of subsets of A × B such that the number of elements in subset is more than or equal to 3 and less than 6, is?

• A. 602
• B. 484
• C. 582
• D. 704

Answer 1

Answer: (C)

582

Answer 2

The correct answer is option (C): 582

n(A)=5, n(B)=2

$\Rightarrow n(A\times B)=10$

Number of subsets having 3 elements = 10C3

Number of subsets having 3 elements = 10C4

Number of subsets having 3 elements = 10C5

10C3+10C4+10C5

=120+210+252

=582