Discrete mathematics and probabalities assignment!

I have a question in my discrete mathematics course. The question is related to probabalities on on 5-card poker using non-standard deck. The deck used consists of 33 cards of different colors: Black: 10 cards Red: 9 cards Green: 7 cards Blue: 7 cards A typical question include the probabalities to draw a three similar cards and two different cards (AAABC) with no repetition and replacement from 33 cards. The assignment is attached with this project. I have attached Part A and Part B of the question but I am interested in PART B ONLY. I have added the two parts to give clear and complete idea of the question. Please do not hesitate to contace me with any question. Thank you very much and looking forward for your replies.