JEE Main 2022 · 26 Jul · Shift 2 · Mathematics Q21

MathematicsInteger+4 / -1Question 21 of 90

Let $A=\{1,2,3,4,5,6,7\}$ and $B=\{3,6,7,9\}$ . Then the number of elements in the set $\{C\subseteq A:C\cap B\ne\phi\}$ is ______

Your answer

Answer and worked solution

Official answer: 112

Complement. Subsets of A missing $A\cap B=\{3,6,7\}$ entirely: $2^4$ .

$2^7-2^4=112$ .

Answer: 112

JEE Main 2022 · 26 Jul · Shift 2, Mathematics question 21