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?
900
870
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?
900
870
59

kinggeorge · Answer

You have 2 positions, to be filled, from a pool of 30 options. So you need to choose 2 people, but order matters since pres/vice pres are different positions. Thus, you're looking for$$30P2={30!\over(30-2)!}=30\cdot29=870$$

anonymous · Answer

id sa, its 870; since each would have 29 possibilities of running for president, which would leave all the others the vice president which would take that choice, so it be 30 * 29 = 870---- like how king George had stated