Find the sum `sum_(k=0)^(10) ""^(20)C_(k)`=

Find the sum sum_(k=1) (""^nC_(2k-1))/(2k)

Find the sum sum_(k=0)^n ("^nC_k)/(k+1)

Find the sum sum_(k=0)^n("^nC_k)/((k+1)(k+2))

The remainder when (sum_(k=1)^(5) ""^(20)C_(2k-1))^(6) is divided by 11, is :

The coefficient of x^(50) in the expansion sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k) is also equal to :

sum_(k=0)^20(.^20C_k)^2 = ?

Find the sum, sum_(k=1) ^(20) (1+2+3+.....+k)