If coefficient of a^2b^3c^4in(a+b+c)^m(w...

If coefficient of `a^2b^3c^4in(a+b+c)^m(w h e r em in N)i sL(L!=0)` , then in same expansion coefficient of `a^4b^4c^1` will be `L` b. `L/3` c. `(m L)/4` d. `L/2`

A

L

B

`L/3`

C

`(mL)/(4)`

D

`L/2`

Text Solution

Verified by Experts

The correct Answer is:

D

As `L ne 0`
`:. M = 2+3+4=9`
`:. L = (9!)/(2!3!4!)`
Now, coefficient of `a^(4)b^(4)c = (9!)/(4!4!1!) = L/2`

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