A club with seven members is to choose three officers: president, vice president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled.
The president can be any of the seven members, so there are 7 choices for president.
The vice president can be any of the remaining six members (since the president cannot also be the vice president), so there are 6 choices for vice president.
The secretary-treasurer can be any of the remaining five members, so there are 5 choices for secretary-treasurer.
Therefore, the total number of ways to choose the three officers is $7\times6\times5=\boxed{210}$.