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Answer to Question #45934 in Statistics and Probability for shibs

Question #45934
A planning committee for a major development project must consist of four architects, three engineers and one environmental lawyer. There are six architects, five engineers and 3 environmental lawyers available to choose from. How many different combinations of the committee can be formed (rounded off to zero decimals)?

Twenty prominent citizens have been nominated for a 'Community Citizen of the Year' award. First- and second-place trophies are awarded to the two persons receiving the highest and second highest number of votes. In how many different ways can the first and second place trophies be awarded (rounded off to zero decimals)?
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