There are 4 suits (spades, hearts, diamonds and clubs) and 13 cards for each suit in a deck of 52 cards. A player randomly draw 13 cards. We do not distinguish the cards 1, 2, ..., Q, K.
(a) Find the total number of combinations of suits for the player.
(b) Find the number of combinations of suits that the player has 6 clubs.
(c) Find the number of combinations of suits such that the player has 4 or more spades and 3 or more hearts.
I tried to tackle this question using multinomial distribution but I actually don't really know how to solve it.