Student Engineers Council at an Indiana college has one student representative from each of the five engineering majors (civil, electrical, industrial, materials, and mechanical). In how many ways can
a. Both a council president and a vice president be selected?
b. A president, a vice president, and a secretary be selected?
c. Two members be selected for the President's Council?

Question

Quizplus · Accepted Answer

The Answer is a. (5)(4) = 20 (5 choices for president, 4 remain for vice president)
b. (5)(4)(3) = 60
c.

\left( \begin{array} { l } 5 \2\end{array} ight)

=

\frac { 5 ! } { 2 ! 3 ! } = 10

(No ordering is implied in the choice)

Student Engineers Council at an Indiana College Has One Student