Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on number of relations and setsEasy2 minPYQ_2016

MathematicsEasysingle choice

Two finite sets have $m$ and $n$ elements. The number of subsets of the first set is 112 more than that of the second set. The values of $m$ and $n$ respectively are,

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Answer:

Solution:

$2^{m} - 2^{n} = 112 \Rightarrow 2^{n} (2^{m - n} - 1) = 16.7$ $∴ 2^{n} (2^{m - n} - 1) = 2^{4} (2^{3} - 1)$ Comparing we get $n = 4$ and $m - n = 3$ $\Rightarrow n = 4$ and $m = 7$

Stream:BITSATSubject:MathematicsTopic:Sets and RelationsSubtopic:Questions on number of relations and sets

⏱ 2mℹ️ Source: PYQ_2016

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