VIT Engineering VIT Engineering Solved Paper-2007

  • question_answer
    The number of integral solutions of\[{{x}_{1}}+{{x}_{2}}+{{x}_{3}}=0,\] with \[{{x}_{i}}\ge -\,5,\] is :

    A)  \[{}^{15}{{C}_{2}}\]

    B)  \[{}^{16}{{C}_{2}}\]

    C)  \[{}^{17}{{C}_{2}}\]

    D)  \[{}^{18}{{C}_{2}}\]

    Correct Answer: C

    Solution :

    Required number of integral solution of \[{{x}_{1}}+{{x}_{2}}+{{x}_{3}}=0=\,{}^{15+3-1}{{C}_{3-1}}\] \[={{\,}^{17}}{{C}_{2}}\]


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