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If coefficient of x^{2} y^{3} z^{4} in (x+y+z)^{n} is A, then coefficient of x^{4} y^{4} z is

Option: 1

2A


Option: 2

\frac{nA}{2}


Option: 3

\frac{A}{2}


Option: 4

None of these


Answers (1)

best_answer

Since x^{2} y^{3} z^{4} is occurring in the expansion of (x+y+z)^{n}, so n should be 9 only.

Now A=\frac{9 !}{2 ! \times 3 ! \times 4 !}=1260

Coefficient of  x^{4} y^{4} z$ is $\frac{9 !}{4 ! \times 4 !}=630= \frac{A}{2}.

 

Posted by

shivangi.shekhar

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