Prove the following identieties using th...

Prove the following identieties using the theory of permutation where `C_(0),C_(1),C_(2),……C_(n)` are the combinatorial coefficents in the expansion of `(1+x)^n,n in N:`
`""^(100)C_(10)+5.""^(100)C_(11)+10 .""^(100)C_(12)+ 10.""^(100)C_(13)+ 10.""^(100)C_(14)+ 10.""^(100)C_(15)=""^(105)C_(90)`

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