Find the sum `sum_(i=0)^r.^(n_1)C_(r-i) .^(n_2)C_i` .

Similar Questions

Explore conceptually related problems

Find the sum sum_(r=0)^n^(n+r)C_r .

Find the sum sum_(r=1)^n r^2(^n C_r)/(^n C_(r-1)) .

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

Find the sum sum_(j=0)^(n) (""^(4n+1)C_(j)+""^(4n+1)C_(2n-j)) .

Find the sum sumsum_(i!=j)^ nC_i^n C_j

Find the sum 1.^(n)C_(0) + 3 .^(n)C_(1) + 5.^(n)C_(2) + "….." + (2n+1).^(n)C_(n) .

Find the sum sumsum_(0lt=ilt=jlt=n)^ nC_i^n C_j

Prove that sum_(r=0)^(2n)r(.^(2n)C_r)^2=n^(4n)C_(2n) .

Find the sum Sigma_(j=1)^(n) Sigma_(i=1)^(n) I xx 3^j