Permutation and combination

Question

A student committee has 8 members including Leah and Tran. The offices of President, Vice-President, Treasurer, and Secretary must be filled using members of the committee. If no person can hold more than one office, how many office assignments are possible in which Tran holds an office but Leah does not?

Answer 1

Tran is president...

then there are 6*5*4 ways to fill the remaining office positions

without Leah,

The same is true if Tran is VP

or Secretary, or Treasurer

4 * 6*5*4 = 480