The number of ways to choose a president from a group of 5 people is 5, since any one of the 5 people can be chosen.
After the president is chosen, there are 4 people left to choose from for the position of vice president. So the number of ways to choose a vice president from the remaining 4 people is 4.
Therefore, the total number of ways to choose a president and a vice president from a group of 5 people is:
5 x 4 = 20
So there are 20 ways to choose a president and a vice president from a group of 5 people.