Consider the expansion of `(a+b+c+d)^(6)`. Then the sum of all the coefficients of the term Which contains both a and b is

Question

Consider the expansion of `(a+b+c+d)^(6)`. Then the sum of all the coefficients of the term Which contains both a and b is

Consider the expansion of `(a+b+c+d)^(6)`. Then the sum of all the coefficients of the term
Which contains both a and b is
A. 2884
B. 4032
C. 1974
D. 2702

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

Related Questions

If the coefficient of the middle term in the expansion of `(1+x)^(2n+2)i salpha` and the coefficients of middle terms in the expansion of `(1+x)^(2n+1

2 Answers 5 Views

Find the sum of coefficients in the expansion of `(x-2y+3z)^n` is 128, then find the greatest coefficients in the expansion of `(1+x)^ndot`

2 Answers 6 Views

Sum of the coefficients of terms of degree 13 in the expansion of`(1+x)^(11) (1+y^(2)-z)^(10)` is

2 Answers 5 Views

The sum of the coefficients of even power of `x` in the expansion of `(1+x+x^2+x^3)^5 i s` `256` b. `128` c. `512` d. `64`

2 Answers 5 Views

Which term in the expansion of `(2-3x)^(19)` has algebrically the last coefficients ?

2 Answers 5 Views

Consider the expansion of `(a+b+c+d)^(6)`. Then the sum of all the coefficients of the term Which contains all of `a,b,c,` and d is

2 Answers 10 Views

Consider the expansion of `(a+b+c+d)^(6)`. Then the sum of all the coefficients of the term Which contains a but not b is

2 Answers 4 Views

If the coefficients of `x^3` and `x^4` in the expansion of `(1""+a x+b x^2)""(1-2x)^(18)` in powers of x are both zero, then (a, b) is equal to (1) `(

2 Answers 6 Views

The sum of all the coefficients of the terms in the expansion of `(x+y+z+w)^(6)` which contain `x` but not `y`, is

2 Answers 8 Views

If the sum of the coefficients in the expansion of `(q+r)^(20)(1+(p-2)x)^(20)` is equal to square of the sum of the coefficients in the expansion of `

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - D
Sum of coefficient which contains both a and b.
= Number of ways of distributing six distinct objects in four boxes (a,b,c,d)
- Number of ways of distributing six distinct objects in the three boxes (a,c,d)
- Number of ways of distributing six distinct objects in three boxes `(b,c,d)`
+ Number of ways of distributing six distinct objects in two boxes (c,d)
`= 4^(6) - 2 xx3^(6) + .^(2)C_(20 xx 2^(6) = 2702`