SOLUTION: 1) We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be

Question 1187854: 1) We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following.
Each card will have:
i) One rank from 1 to 16.
ii) One of 9 different suits.
Hence, there are 144 cards in the deck with 16 ranks for each of the 9 different suits, and none of the cards will be face cards! So, a card rank 11 would just have an 11 on it. Hence, there is no discussion of "royal" anything since there won't be any cards that are "royalty" like King or Queen, and no face cards!
The game is played by dealing each player 5 cards from the deck. Our goal is to determine which hands would beat other hands using probability. Obviously the hands that are harder to get (i.e. are more rare) should beat hands that are easier to get.
a) How many different ways are there to get any 5 card hand?
The number of ways of getting any 5 card hand is
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This will be 144C5=481,008,528 hands
RELATED QUESTIONS
1) We are creating a new card game with a new deck. Unlike the normal deck that has 13... (answered by Edwin McCravy)

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13... (answered by Alan3354)

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13... (answered by Edwin McCravy)

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13... (answered by Alan3354)

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13... (answered by Alan3354,solver91311)

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13... (answered by ikleyn)

A standard deck of cards has 4 suits (hearts, diamonds, spades, and clubs) each with 13... (answered by Boreal)

A standard deck of cards consists of four "suits" (clubs, diamonds, hearts, and... (answered by Edwin McCravy)

A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen,... (answered by CPhill,greenestamps,ikleyn)