The coefficient of a^8b^4c^9d^9 in (a b ...

The coefficient of `a^8b^4c^9d^9` in `(a b c+a b d+a c d d+b c d)^(10)` is `10 !` b. `(10 !)/(8!4!9!9!)` c. `2520` d. none of these

A

`10!`

B

`(10!)/(4!8!9!9!)`

C

2520

D

Nono of these

Text Solution

Verified by Experts

The correct Answer is:

c

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

BIONOMIAL THEOREM
ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
BIONOMIAL THEOREM
ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
BIONOMIAL THEOREM
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|10 Videos
AREA OF BOUNDED REGIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos
CIRCLE
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d+b c d)^(10) is 10 ! b. (10 !)/(8!4!9!9!) c. 2520 d. none of these

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

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

The coefficient of a^3b^6c in the expansionof (2a-b+c)^10 is (A) 6720 (B) 840 (C) 10 (D) none of these

If a+b+c=9 and a b+b c+c a=23 , then a^2+b^2+c^2=? (a)35 (b) 58 (c) 127 (d) none of these

If a ,b ,c ,d in R^+ and a ,b ,c,d are in H.P., then (a) a+d > b+c (b) a+b > c+d (c) a+c > b+d (d)none of these

If a ,\ b ,\ c ,\ d are in proportion, then (a) a b=c d (b) a c=b d (c) a d=b c (d) None of these

A rational number equal to (-2)/3 is (a) (-10)/(25) (b) (10)/(-15) (c) (-9)/6 (d) None of these

a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these

If (4a + 9b) (4c - 9d) = (4a - 9b) (4c + 9d) , prove that : a : b = c : d .

ARIHANT MATHS ENGLISH-BIONOMIAL THEOREM-Exercise For Session 4

The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d d+b c d)^(10) is...
03:18
|
If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...
02:12
|
lf (1 + x + x^2 + x^3)^5 = a0+a1x +a2x^2+.....+a(15)x^15, then a(10) e...
02:12
|
Coefficient of x^15 in (1+ x + x^3+ x^4)^n is
05:21
|
In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,
05:06
|
lf (1 +x)^(10) = a0 +a1x + a2x^2++a(10)x^(10), then value of (a0-a2+a...
08:07
|
If (1 + x)^(n) = C(0) + C(1) x C(2) x^(2) +…+ C(n) x^(n), then the s...
07:50
|
(C0)/(1. 3)-(C1)/(2. 3)+(C2)/(3. 3)-(C3)/(4. 3)+...... +(-1)^n(Cn)/((n...
03:24
|
The value of ((50),(0)) ((50),(1)) + ((50), (1)) ((50),(2)) +............
05:10
|
If cr=ncr then (C1)/2-(C2)/3+(C3)/4-...........-(C100)/101 is equal...
04:31
|
The sum sum(r=0)^n (r+1) (Cr)^2 is equal to :
04:31
|
sum(r=1)^(n) {sum(r1=0)^(r-1) ""^(n)C(r) ""^(r)C(r(1)) 2^(r1)} is equ...
08:11
|
The value of the expression (sum(r=0)^10 "^10 Cr)(sum(k=0)^10 (-1)^k ...
03:40
|
The value of (sumsumsumsum)(0leqiltjltkltlleqn)2 is equal to
02:22
|