Answer:
Option A
Explanation:
Given, n(A)=4, n(B)=2
$\Rightarrow$ n( A X B)= 8
Total number of subsets of set
(A X B) = $2^{8}$
Number of subsets of set A X B hacing no element (i.e, Φ)=1
Number od subsets of set A XB having one element= $^{8}C_{1}$
Number of subsets of set AX B having two elements = $^{8}C_{2}$
$\therefore$ Number of subsets having atleast three elements
= $2^{8}-(1+^{8}C_{1}+^{8}C_{2})$
= $2^{8}-1-8-28$
= $2^{8}-37$
=256-37
=219
