If `"^(10)C_(0)+^(11)C_(1)+^(12)C_(2)+.........^(100)C_(90)=^(x)C_(y)` then `(x-y)/(11)` is

(C_(0))/(1)+(C_(1))/(2)+C_(2)/(3)+.........+(C_(10))/(11)=

If (^(10)C_(0))/1+(^(10)C_(1))/2+(^(10)C_(2))/3+.....+(^(10)C_(10))/(11)=(2^(P)-1)/(q) then the value of (p)/(2q) is

(11C_(0))/(1)+(11C_(1))/(2)+(11C_(2))/(3)+......+(11C_(10))/(11)=

If ""^(100)C_(6)+4." "^(100)C_(7)+6." "^(100)C_(8)+4." "^(100)C_(9)+""^(100)C_(10) has the value equal to " "^(x)C_(y) , then the possible value (s) of x+y can be :

In the expansion off (1+x)^(10)=.^(10)C_(0)+.^(10)C_(1)x+.^(10)C_(2)x^(2)+ . . .+.^(10)C_(10)x^(10) , then value of 528[(.^(10)C_(0))/(2)-(.^(10)C_(1))/(3)+(.^(10)C_(2))/(4)-(.^(10)C_(3))/(5)+ . . .+(.^(10)C_(10))/(12)] is equal to________.

(.1^(11)C_(0))/(1)+(.^(11)C_(1))/(2)+(.^(11)C_(2))/(3)+....+(.1^(11)C_(10))/(11)

2C_(0)+(2^(2))/(2)C_(1)+(2^(3))/(3)C_(2)+..........+(2^(11))/(11)C_(10)=?

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

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))| is equal to zero when m is