### Instruction: Our club has 10 members, and wishes to pick a president, secretary, treasurer, and morale officer.  In how many ways can we choose the officers, if individual members can only hold at most one office?### Response: Let's say we have a list of the 10 members. To pick the president, we have 10 choices.
That's right. To pick the secretary, we have 9 choices since we already chose the president.
Now to pick the treasurer, we have 8 choices.
Right. To pick the morale officer, we have 7 choices.
Now we multiply all of those numbers together to get $10*9*8*7=5040$.