Evaluate :
`1+^(15)C_(1)+^(15)C_(2)+^(15)C_(3)+......+^(15)C_(15)`

^(15)C_3 + ^(15)C_5 + ....+ ^(15)C_15 =

Value of -^(15)C_(1) + 2..^(15)C_(2)- 3.^(15)C_(3) + ...... - 15.^(15)C_(15)+ ^(15)C_(1)+ ^(15)C_(2)+ ....^(15)C_(14) is

Find the sum of the following (""^(15)C_(1))/(""^(15)C_(0))+2(""^(15)C_(2))/(""^(15)C_(1))+3(""^(15)C_(3))/(""^(15)C_(2))+......+15(""^(15)C_(15))/(""^(15)C_(14))

Find the sum of the following (""^(15)C_(1))/(""^(15)C_(0))+2(""^(15)C_(2))/(""^(15)C_(1))+3(""^(15)C_(3))/(""^(15)C_(2))+......+15(""^(15)C_(15))/(""^(15)C_(14))

The value of 15C_(0)^(2)-15C_(1)^(2)+^(15)C_(2)^(2)...-^(15)C_(15)^(2) is 15b-15c.0d.51

Prove that .^(15)C_(3) + 2 xx .^(15)C_(4) + .^(15)C_(5) = .^(17)C_(5)

Prove that , .^(15)C_(8)+^(15)C_(9)-.^(15)C_(6)-^(15)C_(7)=0