`^50 C_31+sum_(r=0)^10 50+r_(C_(20+r))`

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

the value of 40c_(31)+sum_(r=0)^(10)(C_(10+r)^(40-r)) is equal to

The value of ""^(40) C_(31) + sum _(r = 0)^(10) ""^(40 + r) C_(10 +r) is equal to

The value of ""^(40) C_(31) + sum _(r = 0)^(10) ""^(40 + r) C_(10 +r) is equal to

Let P=sum_(r=1)^50 (^(50+r)C_r(2r-1))/(^50C_r(50+r)),Q=sum_(r=0)^50(^50C_r)^2,R=sum_(r=0)^100(-1)^r(^100C_r)^2

Show that 1sum_(r =0)^(50) (""^(100)C_( r))*(""^(200)C_(150+r ))=""^(300)C_(50)

the value of'"" (40)C_(31)+sum_(r=0)'""^(40+r)C_(10-r) is equal to

The value of sum_(r=0)^50 (.^(100)C_r.^(200)C_(150+r)) is equal to

The value of sum_(r=0)^(50)(-1)^(r)(s^(50)C_(r))/(r+2) is equal to (1)/(50xx51) b.(1)/(52xx50) c.(1)/(52xx51) d.none of these