The cars at dealership come with a choice of the following options: air conditioning, a cassette deck, leather seats, power windows, a sunroof and tinted glass. None of the cars has any other optional equipment. The following conditions apply:
If a car has leather seats, it also has a cassette deck. If car has a cassette deck, it also has power windows; If a car has power windows, it also has cassette deck.
Cars with tinted glass have a sunroof, but no air-conditioning. Cars that have air-conditioning have at most two other options.
If a car has tinted glass, which one of the following CANNOT be true?
- The car has $3$ options.
- The car has $4$ options.
- The car has power windows and a sunroof.
- The car does not have both leather seats and a cassette deck.