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(a) let h(n) be the number of ways to split a set of n people into an unspecified number of nonempty group, have each group sit down around a
(a) let h(n) be the number of ways to split a set of n people into an unspecified number of nonempty group, have each group sit down around a circular table, and then serve red wine, white wine, both or neither. Use the formula for the composition of two exponential generating function to find the exponential generating function of the numbers h(n) and then determine h(n)
(b) find the compositional inverse of x-[(x^k)/k!] for a fixed integer k>1. Express the result as an exponential generating function; in other words determine the coefficient of (x^n)/n! in the compositional inverse
