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)`

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

1.	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)`
Answer» Correct Answer - A `(1-x)^(n)=""^(n)C_(0)-""^(n)C_(1)(x)+""^(n)C_(2)x^(2)-""^(n)C_(3)x^(3)+...+(-1)^(n)""^(n)C_(n)` Put x=1 and n=8 `therefore" "(1-1)^(8)=""^(8)C_(0)-""^(8)C_(1)+""^(8)C_(2)-""^(8)C_(3)+...+""^(8)C_(8)` `rArr" "(""^(8)C_(0)-""^(8)C_(1)+""^(8)C_(3)+...+""^(8)C_(8))=0`

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