Let `f(n)= (k=1)Σ^n k^2(n C_k)^ 2` then the value of f(5) equals

Let f(n)=sum_(k=1)^(n) k^2(n C_k)^ 2 then the value of f(5) equals

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(1003) is (1)/(K) . Where K equals

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(999) is (1)/(K) where K equals

If for n in N ,sum_(k=0)^(2n)(-1)^k(^(2n)C_k)^2=A , then find the value of sum_(k=0)^(2n)(-1)^k(k-2n)(^(2n)C_k)^2dot

If for n in N ,sum_(k=0)^(2n)(-1)^k(^(2n)C_k)^2=A , then find the value of sum_(k=0)^(2n)(-1)^k(k-2n)(^(2n)C_k)^2dot

If n is a positive integer and C_(k)=""^(n)C_(k) , then the value of sum_(k=1)^(n)k^(3)((C_(k))/(C_(k-1)))^(2) equals: