Sets, Relations & Functions
Counting Subsets with Size Constraints
nta_pyq_2023_apr
Grade 11
Question:
$|A|=5$, $|B|=2$. Number of subsets of $A\times B$ each having at least 3 and at most 6 elements is
Step-by-Step Solution
Key Concept: $|A\times B|=10$. Count $\binom{10}{3}+\binom{10}{4}+\binom{10}{5}+\binom{10}{6}$.
$792$.
Correct Answer: 3