Exercise 2.30 (Symmetric Functions). 1 Find the number of functions f(x1, . . . , xn) which

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Exercise 2.30 (Symmetric Functions). 1 Find the number of functions f(x1, . . . , xn) which are symmetric in (x1, x2), n ≥ 2.

2 Find all functions that do not change their values for any permutation of the variables.

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