Our club has 10 members, and we need to appoint a president, a vice-president, and a secretary. How many ways can we do this if each member can hold at most one office?
There are 10 options for the President.
For the Vice President, there are 9 options (anyone but the President)
For the Secretary, there are 8 options (anyone but the President and Vice President).
This gives us: 10 * 9 * 8 = 720.
