If Σ r = 1 ¹⁰ r!(r³ + 6r² + 2r + 5) = α (11!), then the value of α is equal to _ _ _ _ _ _.

Permutations and Combinations: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Evening shift · Q44

JEE Main 202118 Mar, Evening shiftMathematicsMediumPermutations and Combinations98× since 2002

\sum\limits_{r = 1}^{10} {r!({r^3} + 6{r^2} + 2r + 5) = \alpha (11!)}

, then the value of

\alpha

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 18 Mar, Evening shift · Q44

JEE Main 202118 Mar, Evening shiftMathematicsMediumPermutations and Combinations98× since 2002

\sum\limits_{r = 1}^{10} {r!({r^3} + 6{r^2} + 2r + 5) = \alpha (11!)}

, then the value of

\alpha

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.