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BITSAT2023MathematicsSets and RelationsActual

If n( ~A )=1000, n( ~B )=500 and if n( ~A B ) 1 and n( ~A B )=p , then

Options

  1. A500 p 1000
  2. B1001 p 1498
  3. C1000 p 1498
  4. D1000 p 1499

Correct answer

D. 1000 p 1499

Step-by-step solution

n ( A )=1000, n ( B )=500, n ( A B ) 1 , n(A B)=p ; n(A B)=n(A)+n(B)-n(A B) p =1000+500- n ( A B ) 1 n ( A B ) 500 Hence p 1499 and p 1000 1000 p 1499

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