- A deck of 52 cards is equally dealt to 4 players.
Find the number of ways to distribute the cards so that each player has exactly one card from each rank.
[Note: A deck of 52 cards consists of 13 ranks, A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, each has four suits
- A deck of 52 cards is equally dealt to 4 players.
Find the number of ways to distribute the cards so that the cards for each player are of the same colour.
[Note: in a deck of 52 cards, 26 of them are red and 26 of them are black]
Edit: I am so sorry, I am new to this environment and it is so ignorant of me to do that without sharing my thought.
For first question, what I can think now:
(4C1 × 3C1 × 2C1 × 1C1)^13 = (4!)^13 What I think is from each rank, first person take one, second person take one, and so on till last person. Then I power it to 13 since there are 13 ranks.
For second question, what I can think now:
(26C13 × 4C1 × 13C13 × 3C1 × 26C13 × 2C1 × 13C13 × 1C1) What I think is the deck divided to two groups, red and black. Then we distribute the red to the first person and second person, then black to tge rest of the group.