We have $20,000 that must be invested among 4 possible opportunities. Each investment must be integral in

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We have $20,000 that must be invested among 4 possible opportunities. Each investment must be integral in units of $1000, and there are minimal investments that need to be made if one is to invest in these opportunities. The minimal investments are $2000, $2000, $3000, and $4000. How many different investment strategies are available if

(a) An investment must be made in each opportunity?

(b) Investments must be made in at least 3 of the 4 opportunities?

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