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MHT CET20239 May 2023Evening ShiftMathematicsMathematical ReasoningActual

Let p , q , r be three statements, then [ p ( q r )] [( p q ) r ] is

Options

  1. Aequivalent to p q .
  2. Bcontingency.
  3. Ctautology.
  4. Dcontradiction.

Correct answer

C. tautology.

Step-by-step solution

Given statement, aligned [p (q r)] & [(p q) r] p (q r) & p (q r) & p ( q r) & [( p) (-q)] r ... [ Associative law ] & (p q) r [ De'morgans law ] & p q r aligned Given statement is tautology.

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