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3. (20 pts) Let S (n. k) denotes the Stirling number of the second kind. a) (10 pts) Show that Sin, k) satisfies the following

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3. (20 pts) Let S (n. k) denotes the Stirling number of the second kind. a) (10 pts) Show that Sin, k) satisfies the following recurrence relation S (1, 1) = S(11. nl) = 1 and S(n.) = S(1-1,- 1) + AS (1-1,k), 1

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