The value of Σ r = 1 ¹⁵ r² ((¹⁵C r)/(¹⁵C r - 1)) is equal to:

Permutations and Combinations: JEE Main 2016 Mathematics question

JEE Main 2016 · 9 Apr, Morning shift · Q4820

JEE Main 20169 Apr, Morning shiftMathematicsMediumPermutations and Combinations98× since 2002

The value of

\sum\limits_{r = 1}^{15} {{r^2}} \left( {{{{}^{15}{C_r}} \over {{}^{15}{C_{r - 1}}}}} \right)

is equal to :

JEE Main 2016 · 9 Apr, Morning shift · Q4820

JEE Main 20169 Apr, Morning shiftMathematicsMediumPermutations and Combinations98× since 2002

The value of

\sum\limits_{r = 1}^{15} {{r^2}} \left( {{{{}^{15}{C_r}} \over {{}^{15}{C_{r - 1}}}}} \right)

is equal to :