Sets, Relations and Function: Let A and B be two sets containing 2 elements and 4 elements… | JEE Main 2013

JEE Main 2013 (Offline)Question 1

Let $A$ and $B$ be two sets containing $2$ elements and $4$ elements respectively. The number of subsets of $A\times B$ having $3$ or more elements is :

Sets, Relations and Function

$219$✓ Correct answer$211$$256$$220$

Solution

$|A\times B|=8$; subsets with $\ge3$ elements: $2^8-1-8-28=219$.

Sets, Relations and Function - JEE Mathematics question (JEE Main 2013 (Offline))

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