If 4 people have 5 different cars to choose from and two of those people cannot pick the same(the remaining two people could have the same car). How many different ways could people pick the cars?
At first I was thinking
First Person: 5 choices Second Person: 4 choices, because they cannot have the same car as person 1. Third Person 5 choices Fourth Person 5 choices Overall 5*4*5*5 = 500 ways, but I'm just not sure if this would assure people 1 and 2 don't get the same car.
To help with confusion lets just give the people names to make this more clear. Abby, Bob, Chris, and Dan. They have 5 different types of cars to choose from but Abby and Bob cannot have the same type of car. Meaning Abby, Chris, and Dan could have the same type of car or Bob Chris and Dan could have the same car. The only restriction is that Abby and Bob do not have the same type of car