JEE Main 2015 · 4 Apr · Shift 1 · Mathematics Q61

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MathematicsSingle correct+4 / -1Question 61 of 90

Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A × B, each having at least three elements is :

219

256

275

510

Answer and worked solution

Official answer: A

$|A\times B|=8$ , so there are $2^8=256$ subsets. Removing those with 0, 1 or 2 elements:
$256-1-8-28=219.$

Topics:Sets and operations Combinations

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JEE Main 2015 · 4 Apr · Shift 1, Mathematics question 61