Find the sum of the series `^15 C_0+^(15)C_1+^(15)C_2++^(15)C_7dot`

Find the sum of the series .^(84)C_(4)+6xx.^(84)C_(5)+15xx.^(84)C_(6)+20xx.^(84)C_(7)+15xx.^(84)C_(8)+6xx.^(84)C_(9)+.^(84)C_(10) .

Find the sum to n terms of the series 3+15+35+63+

Find the sum of the series (2^(3)-1)+(4^(3)-3^(3))+(6^(3)-15^(3))+… to n terms

Find the sum of the series (2^(3)-1)+(4^(3)-3^(3))+(6^(3)-15^(3))+… to 8 terms

Find the sum ^10 C_1+^(10)C_3+^(10)C_5+^(10)C_7+^(10)C_9dot

Find the value of ^20 C_0-(^(20)C_1)/2+(^(20)C_2)/3-(^(20)C_3)/4+dot

C(15,12)=

The sum of series ^(20)C_0-^(20)C1+^(20)C2-^(20)C3++^(20)C 10 is

The value of ^15 C0 2-^(15)C12+^(15)C2 2-^(15)C 15 2 is 15 b. -15 c. 0 d. 51