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[" 1.Evaluate: "],[qquad [" If "f(x)^(20...

[" 1.Evaluate: "],[qquad [" If "f(x)^(20)C_(4)," (ii) "^(16)C_(13)],[" (fiv) "^(T_(1))C_(T1)," (y) "^(n+1)C_(n)]quad " (vii) "sum_(r=1)^(6)C_(r)]

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Evaluate: (i) ""^(20)C_(4) " " (ii) ""^(16)C_(13) " " (iii) .(90C_(88) (iv) ""^(71)C_(71) " " (v) ""^(n+1)C_(n) " " (vi) Sigma_(r=1)^(6) ""^(6)C_(r)

Evaluate : sum_(r = 1)^(n) ""^(n)C_(r) 2^r

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

If ""^(n-1)C_(r ): ""^(n)C_(r ): ""^(n+1)C_(r )=6:9:13 , find 'n' and 'r' .

f(n)=sum_(r=1)^(n)[r^(2)(*^(n)C_(r)-^(n)C_(r-1))+(2r+1)^(n)C_(r)] then f(30) is

If a_(n) = sum_(r=0)^(n) (1)/(""^(n)C_(r)) , find the value of sum_(r=0)^(n) (r)/(""^(n)C_(r))