Word Count : 273

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We will first express \( x^5 \) in terms of falling factorials and then evaluate the Stirling numbers of the second kind, \( S_5^m \), for \( m = 0,1,2,3,4,5 \). ### Step 1: Express \( x^5 \) in Terms of Falling Factorials The falling factorial is defined as: \[ (x)_m = x (x-1) _______ ______ ____ ________ __________ _______ ____.
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