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`""^(12)C_(0)+""^(12)C_(2)+""^(12)C_(4)+....+""^(12)C_(12)`

If ""^(n)C_(4)=""^(n)C_(6) find ""^(12)C_(n) .

Evaluate the ""^12C_0 + ""^12C_2 + ""^12C_4 +………….+""^12C_12

Prove that ""^(10)C_(2)+2xx^(10)C_(3)+^(10)C_(4)=^(12)C_(4)

If ""^(12)C_(0)""^(12)C_(1).....""^(12)C_(12) are the binomial coefficients of the expansion (1+x)^(12),"them" ""^(12)C_(0)-""^(12)C_(1)+""^(12C_(2-""^(12)C_(3)+......""^(12)C_(12= ____________

If ""^(n) C_(12) = ""^(n)C_(8) then n=

If ""^(12)C_(5) =^(12)C_(r) then r=_____

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)):}|=0 when m is equal to :

If ""^(12)C_(r+1)=""^(12)C_(3r-5), find r.