TOUGH Ques... TRY urelf.. During one of the shows in ‘Jemini’ circus, four hats are picked randomly from a trunk that contains 3 red hats, 5 black hats, 4 blue hats and 6 yellow hats, and are given to four dwarfs such that each dwarf gets exactly one hat. All the dwarfs throw their hats in the air simultaneously. Then each dwarf comes under exactly one of the hats, not necessarily the one thrown by him, such that the hat fits snugly on his head. What is the probability that at least two dwarfs are wearing the hats of same colour now and no dwarf has the same hat on his head that he had thrown in the air?(a) 45/136 (b) 91/136 (c) 83/272 (d) 67/152(e) None of these

1) a
2) b
3) c
4) d
5) e