Question:
Let $A$ and $B$ be two sets containing four and two elements respectively. Then the number of subsets of the set $A \times B$, each having at least three elements is :
Let $A$ and $B$ be two sets containing four and two elements respectively. Then the number of subsets of the set $A \times B$, each having at least three elements is :
Updated On: Apr 5, 2026
- 219
- 256
- 275
- 510
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The Correct Option is A
Solution and Explanation
$n(A \times B)=8$
Total subsets $=2^{8}$
${ }^{8} C _{0}+8 C _{1}+{ }^{8} C _{2}$
$=37$
No. of Re Subsets $=256-37 $
$=219$.
Total subsets $=2^{8}$
${ }^{8} C _{0}+8 C _{1}+{ }^{8} C _{2}$
$=37$
No. of Re Subsets $=256-37 $
$=219$.
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