A firm employs 10 programmers, 8 systems analysts, 4 computer engineers, and 3 statisticians. A "team" is to be chosen to handle a new long-term project.The team will consist of 3 programmers, 2 systems analysts, 2 computer engineers and statistician (a)In how many ways can the team be chosen? (B)If the customer insists that one particular engineer with whom he or she has worked betore be assigned to the project. In how many ways can the team be chosen?

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A firm employs 10 programmers, 8 systems analysts, 4 computer engineers, and 3 statisticians. A "team" is to be chosen to handle a new long-term project.The team will consist of 3 programmers, 2 systems analysts, 2 computer engineers and statistician
(a)In how many ways can the team be chosen?

(B)If the customer insists that one particular engineer with whom he or she
has worked betore be assigned to the project. In how many ways can the
team be chosen?

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