The value of 1 1 ! 50 ! + 1 3 ! 48 ! + 1 5 ! 46 ! + … . + 1 49 ! 2 ! + 1 51 ! 1 ! is

1. $\frac{2^{50}}{50!}$
2. $\frac{2^{50}}{51!}$
3. $\frac{2^{51}}{51!}$
4. $\frac{2^{51}}{50!}$

Solution

Asked in: JEE Main 2023 (01 Feb Shift 1)

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