Home
Class 12
MATHS
Find the coefficient of a^(4)b^(3)c^(2)d...

Find the coefficient of `a^(4)b^(3)c^(2)d` in the expansion of `(a-b+c-d)^(10)`.

Text Solution

Verified by Experts

The coefficient of `a^(4) b^(3) c^(2) d ` in the expansion of
` (a - b + c d)^(10)" is " (-1)^(4)(10!)/(4!3!2!1!) = 12600`
[power of b and d are 3 and ` 1 therefore (-1)^(3) (-1)]`
Promotional Banner

Similar Questions

Explore conceptually related problems

The coefficient of a^(-6)b^(4) in the expansion of (1/a-(2b)/3)^(10)" is " ……….

The coefficient of apparent expansion of a liquid when determined using two different vessle A and B are gamma_(1) and gamma_(2,) respectily. If the coefficient of linerar expansion of vesel A is alpha. Find the coefficient of linear expension of the vessel B.

If the integers a,b,c,d are in arithmetic progression and a lt b lt c lt d and d=a^(2)+b^(2)+c^(2) , the value of (a+10b+100c+1000d) is

Find the value of a ,b,c and d from the equation : [{:(a-b,2a+c),(2a-b,3c+d):}]=[{:(-1,5),(0,13):}] .

Find the values of a,b,c,and d from the following equation : [{:(2a+b,a-2b),(5c-d,4c+3d):}]=[{:(4,-3),(11,24):}]

Find out the shift in point B, C and D

if x^2+x+1 is a factor of ax^3+bx^2+cx+d then the real root of ax^3+bx^2+cx+d=0 is : (a) -d/a (B) d/a (C) a/b (D)none of these

Match the following list of animals with their level of organisation. (A) (a - 2), (b - 3), (C-4), (d - 1) (B) (a - 2), (b - 4), (C-3), (d - 1) (C) (a - 4), (b - 1), (C-2), (d - 3) (D) (a - 1), (b - 4), (C-3), (d - 2)

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)

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