Question: As in the previous exercise, s(m, n) denotes a Stirling number of the first kind. (a) For m > n > 1 prove that s(m,n)

As in the previous exercise, s(m, n) denotes a Stirling number of the first kind.
(a) For m > n > 1 prove that
s(m,n) = (m - 1)s(m - 1,n) + (s(m - 1, n - 1).
(b) Verify that for m > 2,

S(m, 2) = (m-1)!

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