The value of `""^(n)C_(n)+""^(n+1)C_(n)+""^(n+2)C_(n)+….+""^(n+k)C_(n)` :

The value of (""^(n) C_(1)+2. ""^(n) C_(2)+3. ""^(n)C_(3)+…+ n""^(n)C_(n)) is-

""^(2n)C_(n+1)+2. ""^(2n)C_(n) + ""^(2n) C_(n-1) =

What is ""^(n)C_(1)+ ""^(n)C_(2)+……… + ""^(n)C_(n) ?

Show that ""^(n)C_(0) +""^((n+1))C_(1) +""^((n+2))C_(2) +…+""^((n+k))C_(k) =""^((n+k+1))C_(k)

The value of sum (""^(n) C_(1) )^(2)+ (""^(n) C_(2) )^(2) + (""^(n) C_(3))^(2) + …+ (""^(n) C_(n) )^(2) is

The value of .^(n)C_(0).^(n)C_(n)+.^(n)C_(1).^(n)C_(n-1)+...+.^(n)C_(n).^(n)C_(0) is

The value of sum_(n=1)^(oo)(""^(n)C_(0)+.......+""^(n)C_(n))/(""^(n)P_(n))