Find the sum `""^(10)C_(1) +^(10)C_(3) +^(10)C_(5)+^(10)C_(7)+^(10)C_(9)`.

Find the value of ^10C_4

The value of |{:(""^(10)C_(4), ""^(10)C_(5), ""^(11)C_(m)), (""^(11)C_(6), ""^(11)C_(7), ""^(12)C_(m+2)), (""^(12)C_(8), ""^(12)C_(9), ""^(13)C_(m+4)):}|=0 when m is equal to :

Find the sum of the series ""^(15)C_(0)+^(15)C_(1)+^(15)C_(2)+….+^(15)C_(7) .

If |(""^(9)C_(4),""^(9)C_(5),""^(10)C_r),(""^(10)C_(6),""^(10)C_(7),""^(11)C_(r+2)),(""^(11)C_(8),""^(11)C_(9),""^(12)C_(r+4))|=0 , then the value of r is equal to a)3 b)4 c)5 d)6