In this question, order means order in time

A teacher has 5 chocolates, 4 lollies and 3 licorice sticks to distribute to a class of 14

pupils. No pupil may get more than one item, and all the items must be given out. The

chocolates are all alike, as are the lollies and the licorice sticks.

(a) In how many ways can the items be distributed amongst the class (without

regard to the order in which this is done)?

(b) In how many ways can the items be distributed amongst the class, taking into

account the order in which this is done?

(c) If the items are distributed at random, what is the probability that John, Joe

and Jim will get the same item whilst Jenny gets a chocolate?

Please please can anyone help?