2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Binomial Theorem and Mathematical Induction

JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Mock Test - Binomial Theorem

  • question_answer
    If coefficient of \[{{a}^{2}}{{b}^{3}}{{c}^{4}}\]in \[{{(a+b+c)}^{m}}\] (where m\[\in \]N) is L (L\[\ne \]0), then in same expansion coefficient of \[{{a}^{4}}{{b}^{4}}{{c}^{1}}\]will be

    A) L                     

    B) \[\frac{L}{3}\]

    C) \[\frac{mL}{4}\]                      

    D) \[\frac{L}{2}\]

    Correct Answer: D

    Solution :

    [d] As \[L\ne 0\] \[\therefore m=2+3+4=9\] \[\therefore L=\frac{9!}{2!3!4!}\] Now coefficient of \[{{a}^{4}}{{b}^{4}}c=\frac{9!}{4!4!1!}=\frac{L}{2}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner