Home
Class 12
MATHS
The coefficient of (x^(3)* b^(6) * C^(8...

The coefficient of ` (x^(3)* b^(6) * C^(8) *d^(9) *e *f) ` in the expansion
of ` (a + b + c - d - e - f)^(31)` is

A

12632

B

`23110`

C

3110

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
d

Coefficient of `(a^(3) * b^(6) * c^(8) * d^(9) *e*f)` in given expansion
` = (-1)^(9) *(-1)^(1) * (-1)^(1) *(31!)/(316!8!9!1!1!)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Match the following and choose the correct option. (A) (a - 4) (b - 3) (C-5) (d - 2) (e - 1) (B) (a - 5) (b - 4) (c - 2) (d - 1) (e - 3) (C) (a - 4) (b - 5) (C - 2) (d - 1) (e - 3) (D) (a - 5) (b - 3) (c - 2) (d - 1) (e - 4)

Match the column A with column B and choose the correct option. (A) (a - 2), (b - 3), (C-5), (d - 4), (e - 1) (B) (a - 2), (b-5), (C-3), (d - 4), (e - 1) (C) (a - 1), (b - 3), (C-5), (d - 4), (e - 2) (D) (a - 1), (b - 5), (C-3), (d - 4), (e - 2)

If (d(f(x)))/(dx) = e^(-x) f(x) + e^(x) f(-x) , then f(x) is, (given f(0) = 0)

Let 3^(a) = 4, 4^(b) = 5, 5^(c) = 6, 6^(d) = 7, 7^(e) = 8 and 8^(f) = 9 . The value of the product (abcdef), is

If A = {a,b,c,d} and the function f ={(a,b),(b,d) , (c,a) ,(d,c) } . Write f^(-1) .

Rank in order, from largest to smallest, the sizes of the friction forces vec(f)_(a) to vec(f)_(c) in these 5 different situation. The box and the floor are made of the same materials in all situations. (a) (b) (c) (d) (e)

If X= { a, b, c, d } and Y = { f, b, d, g} , find X ∩ Y

If X= { a, b, c, d } and Y = { f, b, d, g} , find X – Y

If X= { a, b, c, d } and Y = { f, b, d, g} , find Y – X