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If (^(10)C(0))/1+(^(10)C(1))/2+(^(10)C(2...

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

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

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(C_(0))/(1)+(C_(1))/(2)+(C_(2))/(3)+.......+(C_(10))/(11) is equal to C_(r)-10C_(r))

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________.

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

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