JEE Main & Advanced Sample Paper JEE Main Sample Paper-47

  • question_answer
    The propositions \[(p\Rightarrow \sim p)\,\wedge \,(\sim p\Rightarrow p)\] is

    A)  tautology and contradiction               

    B)  neither tautology nor contradiction

    C)  contradiction

    D)  tautology

    Correct Answer: C

    Solution :

    \[p\] \[\sim p\] \[p\Rightarrow \sim p\] \[\sim p\Rightarrow p\] \[(p\Rightarrow \sim p)\,\wedge \,(\sim p\Rightarrow p)\]
    T F F T F
    F T T F F
    \[[0.\,{{q}^{n}}+1\cdot \,\frac{n}{1}{{q}^{n-1}}p+2\cdot \,\frac{n(n-1)}{2!}{{q}^{n-2}}{{p}^{2}}\]

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