The value of `sum_(r=0)^n sum_(s=1)^n .^nC_5 .^sC_r ` is

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

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

The value of sum_(n=0)^(1)sum_(i=1r<=pi)^( n)nC_(r)sC_(r) is

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

The value of sum_(r=0)^(n)sum_(s=0)^(n)sum_(0)^(n)sum_(t=0)^(n)sum_(u=0)^(n)(1) is

Evaluate sum_(r=0)^n(r+1)^2*"^nC_r

The value of sum_(r=0)^(3n-1)(-1)^r 6nC_(2r+1)3^r is

The value of sum_(r=0)^(n-1) (""^nC_r)/(""^nC_r+ ""^n C_(r+1)) equals a. n+1 b. n/2 c. n+2 d. none of these