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JEE MATHEMATICS MCQ: PERMUTATIONS

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Analyzing +4 | -1

Let

E=\left[\frac{1}{3}+\frac{1}{50}\right]+\left[\frac{1}{3}+\frac{2}{50}\right]+\left[\frac{1}{3}+\frac{3}{50}\right]+\ldots+50 \text { terms,}

then the exponent of 2 in

E

! is

View answer and explanation

Correct option: C

15

The correct answer is C (15) because after evaluating the sum E to be 17, the exponent of 2 in 17! is calculated using Legendre's formula.

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