`(.^(50)C_(1))^(2)+2(.^(50)C_(2))^(2)+3(.^(50)C_(3))^(2)+.....+50(.^(50)C_(50))^(2)=`

The value of ((""^(50)C_(0))/(1)+(""^(50)C_(2))/(3)+(""^(50)C_(4))/(5)+...+(""^(50)C_(50))/(51)) a) (2^(50))/(51) b) (2^(50)-1)/(51) c) (2^(50)-1)/(50) d) (2^(51)-1)/(51)

The value of (-50C_(0))^(2)-(-50C_(1))^(2)+(-50C_(2))^(2)-......+(-50C_(50))^(2) is equal to

The value of ((""^(50)C_(0))/(1)+(""^(50)C_(2))/(3)+(""^(50)C_(4))/(5)+….+(""^(50)C_(50))/(51)) is :

The value of ((""^(50)C_(0))/(1)+(""^(50)C_(2))/(3)+(""^(50)C_(4))/(5)+….+(""^(50)C_(50))/(51)) is :

The sum of coefficients of integral powers of x in the binomial expansion of (1-2sqrt(x))^(50) is: (1) (1)/(2)(3^(50)+1)(2)(1)/(2)(3^(50))(3)(1)/(2)(3^(50)-1)(4)(1)/(2)(2^(50)+1)

Find the coefficient of x^(49) in the polynomial (x-(C_(1))/(C_(2)))(x-2^(2)*C-(2)/(C_(1)))(x-3^(2)*(C_(3))/(c_(2)))......(x-50^(2)*(c_(50))/(C)-49) ,where C_(r)=50C_(r)

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum_(r=1)^(50) (""^(50)C_(r))^(2) , Then find the value of P - Q

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum__(r=1)^(50) (""^(50)C_(r))^(2), R = sum_(r=0)^(100) (-1)^(r) (""^(100)C_(r))^(2) The value of P - Q is equal to

Let P = sum_(r=1)^(50) (""^(50+r)C_(r)(2r-1))/(""^(50)C_(r)(50+r)), Q = sum__(r=1)^(50) (""^(50)C_(r))^(2), R = sum_(r=0)^(100) (-1)^(r) (""^(100)C_(r))^(2) The value of P - Q is equal to