Let S = 1/25! + 1/3!23!... |JEE Main 2026 | Binomial Theorem

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JEE MAIN 2026

24-01-2026 S1

Question

Let $\mathrm{S}=\frac{1}{25!}+\frac{1}{3!23!}+\frac{1}{5!21!}+\ldots$ up to 13 terms. If $13 \mathrm{~S}=\frac{2^k}{n!}, k \in \mathrm{~N}$, then $n+k$ is equal to

Select the correct option:

A

51

B

52

C

49

D

50

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