As you want to move, you pack your boxes carefully not too break a thing. In particular, you have 4 plates and 6 bubble wraps, placing them on top of each other. Note that the plates and bubble wraps, are identical, so you cannot differentiate between them. a) In how many ways can you arrange the plates and bubble wraps? b) In how many of those ways your belongings are safe, i.e., each plate is separate from the next by at least one bubble wrap? c) If you staple plates and bubble wrap at random in a moving box, how likely is it that you end up in an unsecured configuration in which you might brake plates (as two plates are not separated by bubble wrap)? 8 points per problems