JEE MATHEMATICS MCQ: COMBINATIONS

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Analyzing +4 | -1

\sum\limits_{{r=1}}^n\left[\log _2 r\right]=1898

(where [.] denotes greatest integer function), then number of zeroes at the end of

\mathrm{n}

is/are

View answer and explanation

Correct option: A

Option A (74) is correct because the sum of the greatest integer function of log base 2 of r from 1 to n equals 1898, leading to n=300, and the number of zeroes at the end of 300! is 74.

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