JEE Main 2015MathematicsPermutation CombinationHardMCQ

JEE Main 2015 — Permutation Combination Question with Solution

JEE Main 2015 (04 Apr)

Question

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

Choose an option

Show full solutionCorrect option: B
Correct answer
B219

Step-by-step explanation

Given nA=4

nB=2

Number of elements in nA × B=2×4=8

Number of subsets=28

Number of subsets having less than 3 elements =8C0+C81+C82

Number of subsets having at least 3 elements
=28-8C0-C81-C82

=256-1-8-28

=219

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About this question

This is a previous-year question from JEE Main 2015, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.