How many 5 card hands can a deck of 52 cards make?

First, count the number of five-card hands that can be dealt from a standard deck of 52 cards. We did this previously, and found that there are 2,598,960 distinct poker hands. Next, count the number of ways that five cards can be dealt to produce one pair.

How many 5 card hands contain only diamonds?

Combination Q : How many combinations of 5 cards contain only diamonds? Question 1a) How many possible combinations of 5 card poker hands are there? Answer : (525) – basically the combination formula : N! (N−r)!

How many 5 card hands can be dealt from a standard 52 card deck if that hand has at least two aces?

There are 6 choices for the 2 Aces based on 4 suits in a standard deck: Clubs, Hearts, Diamonds, Spades. For each of these choices there are 4 choices for the 3 Kings (basically one choice for each suit not included). This gives a combination of 6×4=24 possible hands.

How many 5 card combinations are there in a deck of cards?

The number of combinations of 5 cards of a deck is (52C5)=2598960.

How many different 5 card hands have all 5 cards of the same suit?

1287 possible
A hand that is a flush must consist of all five cards being of the same suit. Each of the four suits has 13C5 = 1287 possible five-card hands that are all of the same suit.

How many 5 card hands from a standard 52-card deck contain exactly 4 aces and exactly 1 club?

How many 5 card hands from a standard 52-card deck contain exactly 4 aces and exactly 1 club? The answer is 36.

How many 5-card poker hands can be drawn from a deck?

The only difference is the order in which the cards are dealt. These are the same hand. Order is not important. The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.

How do you get a 5-card hand with 3 diamonds and 2 Hearts?

For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards.

How many “fail” cards are there in a deck of cards?

Second card: No matter what you’ve drawn, 4 “fail” cards have been eliminated… the one you drew, plus the 3 others that pair it; and 51 cards remain. (For example, let’s say you drew an Ace as your first card… now only 12 x 4 = 48 cards represent a “success” of not pairing up on the second card.)

How many 5-card hands with 5 cards in sequence?

There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is. Then we need to subtract the number of straight flushes (40) from this number.