A starting lineup in basketball consists of two guards, two forwards, and a center.
(a) A certain college team has on its roster three centers, four guards, five forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [Hint: Consider lineups without X, then lineups with X as guard, then lineups
(b) Now suppose the roster has 3 guards, 4 forwards, 4 centers, and 2 "swing players" (X and Y) who can play either guard or forward.
i.e exactly two guards, two guards, two forwards, and one centers are chosen) Hint: use part (a)
Please explain the steps you took to solve it so that I can learn the appropriate methods. Any help would be appreciated!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.