Need some help.

There are 24 cars in the parking lot outside of my building. They are all either 2-door or 4-door, are either white, black, or red, and are either Ford, Toyota, BMW, or Volkswagen. No two cars are the same with respect to these properties (in other words, for example, there are no two 4-door red Toyotas). If 2 cars are chosen at random, then what is the probability that they are different in all three of these properties? (For example, a 2-door white BMW is different from a 4-door black Ford, but not from a 4-door white Volkswagen).

Question

Need some help.

There are 24 cars in the parking lot outside of my building. They are all either 2-door or 4-door, are either white, black, or red, and are either Ford, Toyota, BMW, or Volkswagen. No two cars are the same with respect to these properties (in other words, for example, there are no two 4-door red Toyotas). If 2 cars are chosen at random, then what is the probability that they are different in all three of these properties? (For example, a 2-door white BMW is different from a 4-door black Ford, but not from a 4-door white Volkswagen).

anonymous · Answer

Have you started? What have you tried?

anonymous · Answer

Yea but I cant seem to really solve it

anonymous · Answer

Try with an example:
We choose this as the first car:
BMW, white, 4 doors.
Which are the ones that are different in all the three properties?
Write them and tell me.

anonymous · Answer

@vmathhelp
Wnat to try it?
Please tell us if you are not sure about how to go on.