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A prime minister must select a cabinet of (((((N)*(u))*(m))*(C))*(a))*(b) individuals from ((((((((N)*(u))*(m))*(C))*(a))*(u))*(c))*(u))*(s) members ofparliament. (((((N)*(u))*(m))*(F))*(e))*(m) of these ((((((((N)*(u))*(m))*(C))*(a))*(u))*(c))*(u))*(s) membersare Libertarians and the remainder are Anarchists.

A prime minister must select a cabinet of (((((N)*(u))*(m))*(C))*(a))*(b) individuals from ((((((((N)*(u))*(m))*(C))*(a))*(u))*(c))*(u))*(s) members ofparliament. (((((N)*(u))*(m))*(F))*(e))*(m) of these ((((((((N)*(u))*(m))*(C))*(a))*(u))*(c))*(u))*(s) membersare Libertarians and the remainder are Anarchists. If the selection were done at random, what would be the probability that an equal number of Libertarians and Anarchistsare chosen for the cabinet? Answer to 4 decimal places of accuracy.

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