We present a scheme for integrating the matrix element of an arbitrary e~+e~- → f_1f_2(f-bar)_3(f-bar)_4 process over the complete four-fermion phase space, or its any part, by means of the Monte Carlo technique. The presented algorithm has been successfully implemented in the KORALW Monte Carlo code. The description is also aimed to be helpful for a reader of non-mathematical background, interested in the basic concepts of multichannel Monte Carlo algorithms.
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