Fabian has a deck of 25 cards. Each card has an integer between 1-5 inclusive, printed on it in one of 5 colors. Each number color combination appears on exactly 1 card in the deck. Fabian draws 4 cards at random, without replacement, from the deck. What is the probability that exactly 2 different numbers and exactly 3 different colors appear on his four cards. Enter your answer as a common fraction, explain as well.