`^8C_4+^8C_3=^9C_4`

^8C_2+ ^8C_3+ ^8C_4+.... ^8C_7 is equal to

Prove that ""^8C_5+""^8C_4=""^9C_5

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

Prove that: 2xx^7C_4=^8C_4

Prove that: 2xx^7C_4=^8C_4

The value of n for which the determinant |[8 C_3 , 9 C_5 , 10 C_7 ],[8 C_4 , 9 C_6 , 10 C_8],[ 9 C_n , 10 C_n+2 , 11 C_n+4]| becomes zero is

Alkenes from the following list of hydrocarbon are C_6 H_6 , C_8 H_4 , C_2H_4 , CH_4 , C_4 H_8 , C_5 H_8 , C_3 H_(8)