What is the value of `""^(8)C_(0)-""^(8)C_(1)+""^(8)C_(2)-""^(8)C_(3)+""^(8)C_(4)-""^(8)C_(5)+""^(8)C_(6)-""^(8)C_(7)+""^(8)C_(8)`

8C_(4)+^(8)C_(3)=^(9)C_(4)

[(8 c_(1)+^(8)C_(3)+^(8)C_(5)+^(8)C_(7))]

.^(n) C_(2) + .^(7)C_(3) = .^(8) C_(3)

The value of (""^(7)C_(0)+""^(7)C_(1))+(""^(7)C_(1)+""^(7)C_(2))+.....+(""^(7)C_(6)+""^(7)C_(7)) is a) 2^(8)-1 b) 2^(8)+1 c) 2^(8) d) 2^(8)-2

Verify that 2 ""^(7)C_(4)=""^(8)C_(4) .