JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    Number of ways in which three distinct numbers can be selected between 1 and 20 both inclusive, whose sum is even is

    A)  120                             

    B)  450

    C)  570                             

    D)  620

    Correct Answer: C

    Solution :

    \[20\left\langle \begin{align}   & 10\,odd \\  & 10\,even \\ \end{align} \right.\] \[^{10}{{C}_{3}}{{+}^{10}}{{C}_{1}}.{{\,}^{10}}{{C}_{2}}\,=120\,+450\,=570\]


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