For a positive integer `""^(n)C_(1) + ""^(n)C_(2) + ""^(n)C_(3) + …… + ""^(n)C_(n)` is equal to:

If ""^(n)C_(3) + ""^(n)C_4 gt ""^(n+1) C_3 , then.

If ""^(n)C_(5)=""^(n)C_(10) then n equals :

Find n, if ""^(2n)C_(1),""^(2n)C_(2) and ""^(2n)C_(3) are in A.P.

C_(0)-C_(1)+C_(2)-C_(3)+ ---+(-1)^(n)""^(n)C_(n) is equal to

The vaule of sum_(r=0)^(n-1) (""^(C_(r))/(""^(n)C_(r) + ""^(n)C_(r +1))) is equal to

solve the value of .^(n)C_(5) = .^(n)C_(3)

Prove that .^(n-1)C_(3)+.^(n-1)C_(4) gt .^(n)C_(3) if n gt 7 .

if .^(2n)C_(2):^(n)C_(2)=9:2 and .^(n)C_(r)=10 , then r is equal to

If m,n,r are positive integers such that r lt m,n, then ""^(m)C_(r)+""^(m)C_(r-1)""^(n)C_(1)+""^(m)C_(r-2)""^(n)C_(2)+...+ ""^(m)C_(1)""^(n)C_(r-1)+""^(n)C_(r) equals