The value of `("^n C_0)/n`+`("^nC_1)/(n+1)`+`("^nC_2)/(n+2)`+....+`("^nC_ n)/(2n)` is equal to

If n = 5, then (""^(n)C_(0))^(2)+(""^(n)C_(1))^(2)+(""^(n)C_(2))^(2)+......+(""^(n)C_(5))^(2) is equal to

The value of C(n, 0) - C(n, 1) + C(n, 2) - C(n, 3) +.......+(-1)^(n)C(n, n) =

The value of ""^(n)P_(1)+(""^(n)P_(2))/(2!)+(""^(n)P_(3))/(3!)+......+(""^(n)P_(n))/(n!)

If the value of "^(n)C_(0)+2*^(n)C_(1)+3*^(n)C_(2)+...+(n+1)*^(n)C_(n)=576 , then n is

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

Prove that (^n C_0)/1+(^n C_2)/3+(^n C_4)/5+(^n C_6)/7+.....+dot=(2^n)/(n+1)dot

lim_(n -> oo) (((n+1)(n+2)(n+3).......3n) / n^(2n))^(1/n) is equal to

(n+2)nC_0(2^(n+1))-(n+1)nC_1(2^(n))+(n)nC_2(2^(n-1))-.... is equal to

If "^(n)C_(0)-^(n)C_(1)+^(n)C_(2)-^(n)C_(3)+...+(-1)^(r )*^(n)C_(r )=28 , then n is equal to ……

The value of lim_(nrarroo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1) is