Find the coefficient of `x^(25)` in expansion of expression `sum_(r=0)^(50)^(50)C_r(2x-3)^r(2-x)^(50-r)` .

sum_(r=0)^(20).^(50-r)C_6

Coefficient of x^25 in the expansion of the expression sum_(r = 0)^50 ""^50C_r (2x - 3)^r (2-x)^(n-r) is :

The coefficient of x^(27) in the expansion sum_(m=0)^(50).^(50)C_(m)(x+3)^(50-m)(-2)^(m) is:

The coefficient of x^(r) in the expansion of (1-x)^(-2) is

Coefficient of x^(48) in sum_(r=0)^(50)""^(50)C_(r).(x-2)^(x).3^(50-r) is

Sum of all coefficient of different power of x in the expansion sum_(r=0)^(10)('^10)C_(r)(x-3)^(r)4^(10-r) will be

The coefficient of x^(50) in the expansion sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k) is also equal to :

Find the sum of the series sum_(r=0)^(50)(""^(100-r)C_(25))/(100-r)