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A system is composed of five components, each of which is either working or failed. Consider...

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Basic Math

A system is composed of five components, each of which is eitherworking or failed. Consider an experiment that consists ofobserving the status of each component, and let the outcome of theexperiment be given by the vector (x1, x2, x3, x4, x5) where xi isequal to 1 if component i is working and is equal to 0 if componenti has failed. Suppose that two components are working and threecomponents have failed. In how many ways can this occur?

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