There are 30 people in student council that are running for the offices of president and vice president. In how many different ways can those offices be assigned?

a) 900
b) 870
c) 59

Question

There are 30 people in student council that are running for the offices of president and vice president. In how many different ways can those offices be assigned?

a) 900
b) 870
c) 59

anonymous · Answer

Well lets say we pick the president first, there are 30 different people we can pick.

Since already a picked one person for president, there are now only 29 different people left to pick for vice president:

so 30 x 29 = 870