A Tesla plant receives shipment of Tesla Model Y cars from New York, California, Florida and Texas. In all, the plant received 123 cars with New Your sending 33, 10 from Florida and California sending 46 to the Tesla plant. Four times a car is selected at random from the plant, each time without replacement. Find the probability that

(a) all four cars came from the Texas factory

(b) The first 3 cars came from California and the last one from Florida

(c) none of the four selected came from New York.