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MHT CET202020 Oct 2020Evening ShiftMathematicsSets and RelationsActual

array l If A and B are subsets of universal set X such that n ( X )=200, n ( A )=90, n ( B )=80 , n (A^ B^ )=40, then n (A B^ )= array

Options

  1. A70
  2. B80
  3. C20
  4. D10

Correct answer

B. 80

Step-by-step solution

aligned n (A B^ ) &=n(A)-n(A B) n(x) &=200 & (A B)=n(A)+n(B)+2 (A^ B^ ) &-n(X) n (A B^ ) &=90-10 &=80 aligned

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