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Let f(n) be the number of weak ordered 2-partitions (S1, S2) of [n] = {1,2,...,n} which satisfiesthat |S?| ?1 and |S?| ? 2.(a) Show that
Let f(n) be the number of weak ordered 2-partitions (S1, S2) of [n] = {1,2,...,n} which satisfiesthat |S?| ?1 and |S?| ? 2.(a) Show that exponential generating function of(n) = (ex-1)(ex-1-x).(b) Find a closed formula for f(n).
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