2013 AMC 10A Problems/Problem 8

Revision as of 23:25, 6 February 2013 by Countyguy (talk | contribs) (Created page with "A student council must select a two-person welcoming committee and a three-person planning committee from among its members. There are exactly ways to select a two-person team f...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A student council must select a two-person welcoming committee and a three-person planning committee from among its members. There are exactly ways to select a two-person team for the welcoming committee. It is possible for students to serve on both committees. In how many different ways can a three-person planning committee be selected?


$\textbf{(A)}\ 10\qquad\textbf{(B)}\ 12\qquad\textbf{(C)}\ 15\qquad\textbf{(D)}\ 18\qquad\textbf{(E)}\ 25$