Question

A student club has 11 members. How many ways can the club choose a president, vice president, and treasurer?
A. 330
B. 990
C. 165
D. 1,650

Answer 1

Solve this by asking yourself:

How many people can be chosen for president:

After a president have been chosen, how many are left standing for vice president?

After you chose the vice, how many remain for the treasurer?

Use that logic to solve it

Answer 2

P(n,r) = (n!)/((n-r)!)


P(11,3) = (11!)/((11-3)!)


P(11,3) = (11!)/(8!)


P(11,3) = (11*10*9*8!)/(8!)


P(11,3) = 11*10*9


P(11,3) = 990


So there are 990 ways