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 arc $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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