How many ways are there to distribute a deck of 52 cards to 4 players there is no rule to how you distribute the cards?

52! 3!, because you have 4 players total with 52 cards to distribute. Since the problem said the ways you can distribute the deck, the cards itself do not matter. So you are solving for the number of ways you can have x1+x2+x3+x4=52 (with x1 to x4 being each player).

How many 9’s are in a standard deck of cards?

A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.

How many ways are there to divide a standard deck of cards over 4 players?

We know that 52 divided by 4 is 13, hence, all the players get 13 cards each. Using, formula (1), we have: N1=52! 13!

How many ways can you arrange 13 cards?

There are 40 possibilities for the thirteenth card (because it can be anything except the ♦7, ♠K, ♣4, or any of the nine other cards already dealt). That means that the number of possible hands is 52×51×50×···×42×41×40 = 3954242643911239680000.

How many different ways can you be dealt 5 cards?

2598960 different ways
5! = 2598960 different ways to choose 5 cards from the available 52 cards.

How many ways we can divide 52 playing cards?

Hence,we get the required answer. Complete step-by-step answer: We are given a pack of 52 cards, in the first part of the question, we need to divide them equally among four players in order. We know that 52 divided by 4 is 13, hence, all the players get 13 cards each.

How many ways can be assigned to five packs of cards?

The fourth pack can contain 40C4 = 91,390 ways. The fifth pack can contain 36C4 = 58,905 ways. Okay, now you’ve got five packs of cards on the table. There are 5! = 120 ways to assign the five packs to the five different players.

How many cards can be distributed equally among 4 players?

Number of ways in which 52 cards can be distributed equally among 4 players = 52C13 × 39C13 × 26C13 × 13C13 Be a smart engineer. Choose the workstations built by ML experts. Our hardware is configured with the apps you need. We are trusted by Amazon Research, Tencent and MIT.

How many cards can be selected in 52c13 ways?

First we select 13 cards out of 52 cards and this can be done in 52C13 ways. Out of the remaining 39 cards, 13 can again be selected in 39C13 ways. Similarly out of 26, 13 can be again selected in 26C13 ways.

How many spades are there in a deck of cards?

Dealt equally, that’s 13 cards each. A and B cannot each have 7 spades, as that’s 14, and there are only 13 in a fair deck. SO you must mean between them they have 7 spades, no more, no less. There, are, then, 7 amounts of spades C might have (0 through 7).