The coefficient of x^(6) in: [(1+x)^(6...

The coefficient of `x^(6)` in:
`[(1+x)^(6)+(1+x)^(7)+ . . .+(1+x)^(15)]` is:

A

`^16C_16`

B

`^16C_10`

C

`^16C_8`

D

`^19C_9`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The coefficient of x^(5) in (1+x^(2))^(5)(1+x)^(4) is

The coefficients of x^(-n) in (1+x)^(n)(1+(1)/(x))^(n) is

If |x| lt1, then coefficient of x^(n) in expansion of: (1+x+x^(2)+x^(3)+ . . .)^(2) is

The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

The coefficient of x^(k) in the expansion of 1+(1+x)+(1+x)^(2)+ . . .+(1+x)^n is

The coefficient of x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)+.. .+(1+x)^(30) is

The coefficient of x^(6) in the expansion of (1+x+x^(2))^(-3) is

The coefficient of x^(32) in the expansion of (x^(4)-(1)/(x^(3)))^(15) is

The coefficient of x^(99) in the expansion of : ( x-1)(x-2) "...." ( x-100) is :