During a circus, 4 hats are picked randomly from a trunk having 3 red, 5 black, 4 blue and 6 yellow hats and are given to 4 dwarfs such that each gets 1 hat. all the dwarfs throw their hats in air simultaneously and then come under a hat not necessarily their own. what is probability that at least 2 dwarfs are wearing hat of same colour now and no dwarf has the same hat on his head that he had thrown in the air?

1) 45/136
2) 91/136
3) 83/272
4) none of these