A young man has 4 girlfriends A, B, C, D One night he wrote a love letter to each of the girls, and addressed 4 envelopes. But before he puts the letters in the correct envelopes, there is a power outage and he just puts the letters in the envelopes at random. a.) How many ways can the 4 letters go into 4 envelopes? 4 choices*3choices*2choices*1choice = 4! =24 ways b.) How many ways can all of the letters go to the wrong envelope, and compute the probability that the toung man will lose all his girlfriends. c.) If done with 5 girlfriends?