Question: Combinatorics S ( n , k ) is the Stirling numbers of the second kind, and c ( n , k ) is the unsigned

Combinatorics S(n, k) is the Stirling numbers of the second kind, and c(n, k) is the unsigned Stirling numbers of the first kind. For all positive integers 1<= k <= n, show that S(n, k)<= c(n, k). When does equality hold?

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