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If coefficient of x2 y3 z4 in  (x + y +z)n  is A, then coefficient of x4y4z is 

 

Option: 1

2A


Option: 2

\frac{n A}{2}


Option: 3

\frac{A}{2}


Option: 4

none of these 

 


Answers (1)

best_answer

Since x2y3z4 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 x4y4 z is \frac{9 !}{4 ! \times 4 !} = 630 = A/2.

 

 

Posted by

SANGALDEEP SINGH

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