Probability counting excercise
Ten cards are drawn randomly from a deck of 52 cards (13 cards of each of the 4 different suits).
Each selected card is put into a pile that depends on what suit the card is. (4 total piles)
a) What is the probability that the largest pile contains 4 cards, the next largest pile has 3 cards, the next largest has two cards and the smallest has 1 card?
I am not sure how to begin part a. You want to select 4 of one suit, 3 of a different suit, then 2 of a yet again different suit and then a single card of the last suit. If the numbers were tied to specific suits I could see how to do part a, but this more general case is confusing me.
b) What is the probability that two of the piles have 3 cards, one has 4 cards, and one has no cards?
So when you draw ten cards you don't get 1 of the 4 suits. However, like part a, since the numbers aren't tied to specific suits, I am confused on how to proceed.
Any help would be greatly appreciated. Thank you kindly.