Find the value of sum(p=1)^n(sum(m=p)^n^...

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`

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