3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

Q: How many five card poker hands consist of two jacks, two queens, and a card of a different type?…

A: It is given that The total number of cards = 52Red cards = 26No. of jacks = 4No. of queens = 4

Q: Given a standard 52 card deck, how many ways are there to draw a 5-card hand with 2 pairs and one…

A: There are 13 different ranks in a deck of cards (Ace through King). We must choose two different…

Q: At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: There are 52 cards in a standard deck. Thirteen of those cards are spades. The deck is shuffled and…

A: Given that there are 13 spades.  We have to select 3 spades from the 13 spades.    Since the order…

Q: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: From a standard deck of cards, how many 10 card hands can be dealt that contain exactly 3 aces?

A: We have given information,  In a standard deck of cards, 10 card hands can be dealt.

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

A:

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: Let 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards, out of…

Q: How many ways are there to arrange the letters in the phrase REPEATED? If you have three shades of…

A: How many ways are there to arrange the letters in the phrase REPEATED? The word "REPEATED" has 8…

Q: How many different 4-card hands can be dealt from a standard deck that: Contain 3 Hearts or 3 Clubs

A: We have to find no of combinations possible.

Q: An ordinary deck of 52 cards consists of four suits: clubs, diamonds, hearts spades A. How many…

A: Given An ordinary deck of 52 cards consists of four suits:  clubs, diamonds, hearts spades

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

A:

Q: How many different flushes are possible in a regular deck of card?

A:

Q: How many five-card hands contain exactly four jacks or exactly four black cards?

A: Total cards in a deck = 52 Total Jacks = 4 Total black cards = 26

Q: In a standard deck of cards, if the order in which cards are dealt is not important:  How many ways…

A: There are total of 52 cards in a standard deck of cards. From those, we have to pick 5 cards.

Q: In a deck of 52 playing cards, how many 4-card hands are there that are made up of only red cards?

A:

Q: In how many ways can a hand of 6 diamonds be chosen from an ordinary deck? A hand of 6 diamonds can…

A:

Q: How many different hands of 5 cards from the deck of 52 are there? 2) An office building contains 27…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: how many five card poker hands consist of a four of a kind?

A: In a standard deck of cards, there are 52 cards in total out of which there are 13 different…

Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: How many different ways are there of choosing four cards from a standard 52-card deck and arranging…

A:

Q: From a standard​ 52-card deck, how many 6​-card hands consist entirely of face​ cards?

A: The standard deck of cards contains total 52 cards.

Q: Using a standard deck of 52​ cards, how many 4​-card hands contain all heart

A: using stanadard deck of 52 cards ,total outcomes:n=52 cards we have to find out  that 4 card hands…

Q: How many different arrangements are there for the eight letters {a, c, f, g, i, t, w, x} ? a. How…

A: a.  since we know the 1st letter is t.  The second letter in the permutation can be choosen in 7…

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands…

A: To find a. How many 5-cards hands are there consisting of all diamond suits b. How many 5-cards…

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: How many five-card hands have exactly two Queens?

A: The total cards in a deck = 52 Total queens = 4 There will be two of the four queens, and three…

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: A standard 5- card poker hand is drawn simultaneously from a deck of 52 cards. You draw a “flush” if…

A: Given: A standard 5- card poker hand is drawn simultaneously from a deck of 52 cards. You draw a…

Q: From a standard 52-card deck, how many 6-card hands consist entirely of black cards? There are…

A:

Q: Consider a deck of 52 cards.  a. How many different 5-card hands can have 5 cards of the same suit?…

A:

Q: Jerry draws a card from a standard 52-card deck with replacement. How many attempts are expected for…

A: Given, Total 52 Cards in a deck

Q: How many different 7​-card hands can be selected from an ordinary​ deck

A: 52C7=133,784,560

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.