मान ज्ञात कीजिएः ` ""^(8)C_(2)+""^(8)C_(4)+""^(8)C_(6)+.....+""^(8)C_(8)`

^8C_(2)+^(8)C_(3)+^(8)C_(4)+...+^(8)C_(7) is equal to

(""^(8) C_(0) )/(6) - ""^(8) C_1 + ""^(8) C_(2) . 6-""^(8) C_3 . 6^2 + ... + ""^(8) C_(8) .6^(7) is equal to (i) 0 (ii) 6^7 (iii) 6^5 (iv) (5^8)/(6)

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

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)