Find the value of `sum_(p=1)^n(sum_(m=p)^n^n C_m^m C_p)dot` And hence, find the value of `(lim)_(nvecoo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n^n C_m^m C_p)dot`

Find the value of sum_(p=1)^n(sum_(m=p)^n.^nC_m.^m C_p)dot And hence, find the value of lim_(n->oo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n.^n C_m.^m C_p)dot

Find the value of sum_(p=1)^n(sum_(m=p)^n.^nC_m.^m C_p)dot And hence, find the value of lim_(n->oo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n.^n C_m.^m C_p)dot

Find the value of sum_(p=1)^(n)(sum_(m=p)^(n)C_(m)^(m)C_(p)) And hence,find the value of lim_(n rarr oo)(1)/(3^(n))sum_(p=1)^(n)(sum_(m=p)^(n)C_(m)^(m)C_(p))

The value of sum_(r=1)^(n)(sum_(p=0)^(n)nC_(r)^(r)C_(p)2^(p)) is equal to

(b) Find the value of sum_(r=m)^(n)*Cm,n>m

If sum_(k=1)^n(sum_(m=1)^k m^2)=a n^4+b n^3+c n^2+dn+e then -

The value of sum_(r=0)^(n) sum_(p=0)^(r) ""^(n)C_(r) . ""^(r)C_(p) is equal to

The valur of sum_(r=0)^(n) sum_(p=0)^(r) ""^(n)C_(r) . ""^(r)C_(p) is equal to