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BITSAT2016MathematicsSets and RelationsActual

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,

Options

  1. A4,7
  2. B7,4
  3. C4,4
  4. D7,7

Correct answer

B. 7,4

Step-by-step solution

2^ m -2^ n =112 2^ n (2^ m-n -1 )=16.7 2^ n (2^ m-n -1 )=2⁴ (2³-1 ) Comparing we get n=4 and m-n=3 n=4 and m=7

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