A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
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When a problem involves choosing a group *and* assigning a role (like captain) within that group, remember that "choosing 5 and then 1 captain from the 5" is equivalent to "choosing 1 captain from 10 and then 4 members from the remaining 9". Pick the method that seems simpler to calculate for your exam.