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s-n-0mn-mn-m-xn-where-m-and-n-are-very-large-numbor-about-1020-and-x-is-about-o-1-pa852

we can use Stirling's appropriation for S. Stirling's approximation states that for large values of n, n! is approximately equal to

. Using this approximation, we can rewrite the express for S as:

Taking the natural logarithm of both side we get:

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