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MHT CET202415 May 2024Morning ShiftMathematicsSets and RelationsActual

If n(A)=4, n(B)=2 . Then the number of subsets of the set A B each having at least 3 elements are

Options

  1. A275
  2. B510
  3. C219
  4. D256

Correct answer

C. 219

Step-by-step solution

aligned & n ( A )=4, n ( B )=2 & n ( A B )=4 2=8 & Required numbers = ^8 C ₃+ ^8 C ₄+ + ^8 C ₈ &=2^8- ( ^8 C ₀+ ^8 C ₁+ ^8 C ₂ ) &=256-37 &=219 aligned

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