The coefficient of `x^m` in `(1 + x)^k + (1 + x)^(k+1)+ ..... +(1+x)^n, (k <=m<= n)` ,is given by

Find the coefficient of x^k in 1 +(1 +x) +(1 +x)^2+.. +(1+x)^n (0 <=k<=n) .

Find the coefficient of x^(k) in 1 + (1+x) +(1+x)^(2)+….+(1+x)^(n) (0 le k le n).

Find the coefficient of x^(k) in 1+(1+x)+(1+x)^(2)+...+(1+x)^(n)(0<=k<=n)

Coefficient of x^n in e^(e^x) is 1/(n!) k then k =

Find the coefficient of x^(k)in 1+(1+x)+(1+x)^(2)+...+(1+x)^(n)(0<=k<=n)

Statement-1 Coefficient of x^49 in (1+ x)(3 +x)(5 +x)......... (99+x) is 2500 and Statement. 2 The coefficient of x^k in (1 +x)l (2 +x)m (3 +x)n where l +m +n -k= 1 is (l+ 2m +3n).

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