﻿ The number of positive integers n such that 2n divides n! is : Kaysons Education

# The Number Of Positive Integers n such That 2n divides n! Is

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## Question

### Solution

Correct option is

None of these

The exponent of 2 in n! is given by

where [x] is denotes greatest integer  after finite number of terms. Thus we get

Thus, there is no positive for which integer for which 2n divides n!

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