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)^(3n-1)(-1)^r 6nC_(2r+1)3^r is

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to

The value of sum_(r=1)^(n)(-1)^(r-1)((r )/(r+1))*^(n)C_(r ) is

The value of sum_(r=1)^n(-1)^(r+1)("^n C r)/(r+1) is equal to a. -1/(n+1) b. 1/n c. 1/(n+1) d. n/(n+1)

The value of sum_(r=0)^(10) (-1)^(r).4^(10-r)""^(30)C_(r)""^(30-r)C_(10-r) is equal to

The value of ""^(50)C_(4)+sum_(r=1)^(6)""^(56-r)C_(3) is

The value of sum_(r=0)^(3) ""^(8)C_(r)(""^(5)C_(r+1)-""^(4)C_(r)) is "_____" .

Find the sum of sum_(r=1)^n(r^n C_r)/(n C_(r-1) .

The value of sum_(r=1)^(n+1)(sum_(k=1)^n "^k C_(r-1)) ( where r ,k ,n in N) is equal to a. 2^(n+1)-2 b. 2^(n+1)-1 c. 2^(n+1) d. none of these

The value of expression .^47 C_4+sum_(j=1)^5.^(52-j)C_3 is equal to a. .^47 C_5 b. .^52 C_5 c. .^52 C_4 d. none of these