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JEE MATHEMATICS MCQ: COMBINATIONS

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The value of

\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\ldots .+\frac{1}{49 ! 2 !}+\frac{1}{5 ! 1 !}

is :

View answer and explanation

Correct option: A

\frac{2^{50}}{51 !}

Option A (

\frac{{2^{{50}}}}{{51 !}}

) is correct because the given expression can be transformed into a binomial coefficient sum, which simplifies to this value.

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n