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

8C_(4)+^(8)C_(3)=^(9)C_(4)

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

Solve: "^8C_0x^8+^8C_2x^6+^8C_4x^4+^8C_6x^2+1 =0.

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

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)

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent? (1) 8""dot^6C_4dot^7C_4 (2) 6""dot""7""dot^8C_4 (3) 6""dot""8""dot^7C_4 (4) 7""dot^6C_4dot^8C_4

Prove that (1)8C_(0)+8C_(1)+8C_(2)+...+8C_(8)=256...(2)9C_(0)+9C_(2)+9C_(4)+......+9C_(8)=256