JEE Main 2015 — Sets And Relations Question with Solution
From: JEE Main 2015 (Offline)
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 atleast
three elements are
Choose an option
Show full solutionCorrect option: A
Correct answer
A219
Step-by-step explanation
Given,
Total number of subsets of set
Number of subsets of set having no element (i.e.
Number of subsets of set having one element
Number of subsets of set having two elements
Number of subsets having atleast three elements
Total number of subsets of set
Number of subsets of set having no element (i.e.
Number of subsets of set having one element
Number of subsets of set having two elements
Number of subsets having atleast three elements
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This is a previous-year question from JEE Main 2015, covering the Sets And Relations 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.