Saved Bookmarks
| 1. |
What is the coefficient of `x^(100)` in the expansion of `(1+x+x^2+x^3+.....+x^100)^3` |
|
Answer» `(1+x+x^2+x^3+...+x^100)^3` Coefficient of `x^n` in an expression `(x_1+x_2+...+x_m)` can be given as `C(n+m-1,n)`. Here, `n =100, m = 3`. `:.` Coefficient of 100th term in given expression ` = C(100+3-1,100) = C(102,100) = C(102,2)`. so, option `C` will be the correct option. |
|