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7.Binomial Theorem
hard
ધારોકે $\sum \limits_{r=0}^{2023} r^{2023} C_r=2023 \times \alpha \times 2^{2022}$, તો $\alpha$ નું મૂલ્ય $............$ છે.
A
$1011$
B
$1013$
C
$1012$
D
$1014$
(JEE MAIN-2023)
Solution
using result
$\sum \limits_{r=0}^n r^{2 n} C_r=n(n+1) \cdot 2^{n-2}$
$=2023 \times \alpha \times 2^{2022} \text { So, }$
$\Rightarrow \alpha=1012$
Standard 11
Mathematics