The value of `(^50C_0)^2-(^50C_1)^2+(^50C_2)^2-......+(^50C_50)^2` is equal to

The value of .^50C_0 .^50C_1 + .^50C_1 .^50C_2 + .........+ .^50C_49 .^50C_50 is

the value of (50C_(0))/(3)-(50C_(1))/(4)+(50C_(2))/(5)+.........+(50C_(50))/(53) 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

If sum_(r=0)^25 {.^50C_r*^(50-r)C_(25-r)}=K(.^50C_25), then K is equal to

The coefficient of x^50 in the polynomial (x + ^50C_0)(x +3.^5C_1) (x +5.^5C_2).....(x + (2n + 1) ^5C_50) , is

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

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

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

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