In how many distinct ways can I arrange my five keys on a keychain, if I want to put my house key next to my car key? Two arrangements are not considered different if the keys are in the same order (or can be made to be in the same order without taking the keys off the chain--that is, by reflection or rotation).
You have two places to start
House - car
car - House then the next 3 spaces have 6 possibilities
2 x 6 = 12 ways. My guess.