" 5.Prove that "^(10)C_(3)+^(10)C_(6)=^(11)C_(4)

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

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))| is equal to zero when m is

Verify that: (i) .^(15)C_(8)+.^(15)C_(9)-.^(15)C_(7)=0 " " (ii) .^(10)C_(4)+.^(10)C_(3)=.^(11)C_(4)

" 6.Find the value of "^(10)C_(5)+2*^(10)C_(4)+^(10)C_(3)

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))| is equal to zero when m is

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))| is equal to zero when m is

Prove that ^10 C_1(x-1)^2-^(10)C_2(x-2)^2+^(10)C_3(x-3)^2+-^(10)C_(10)(x-10)^2=x^2