Leave your answers to the following questions as factorials, permutations, or combinations with proper notation. In poker, a flush is a five card hand where all cards are of the same suit. Recall that there are four suits (clubs, diamonds, hearts, and spades) with thirteen cards each. (a) How many ways to draw a hand of five cards? (b) How many ways are there to draw a hand of five spades? (c) How many ways to draw a flush hand? That is, and hand of either all clubs, all diamonds, all hearts, or all spades?

Q: study of one of the colleges, the total number of stude was (2000 students), and a sample of (60…

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Q: In how many ways can you be dealt a seven-card hand from a standard deck consisting of three…

A: Given : total no of cards=52  No of diamond cards=13  No of heart cards=13  No of spades cards=13…

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

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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: From an ordinary 52 deck of playing cards, 2 cards are drawn without replacement. Find (a) P(Two…

A: Given that  From ordinary 52 deck of playing cards. 2 cards are drawn without replacement.   We know…

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: How many distinct arrangements of the letters in the ( fictitious) word FOOTBALLLERS are possible?

A: Given information- We have given the word FOOTBALLLERS, we have to find the no. of arrangements of…

Q: A deck of card contains 7 red, 5 black, 8 orange, and 9 white cards. How many different 4-card…

A:

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

A: We have a  deck of 52 playing cards.  We draw 5 cards. Now, the number of ways to choose r things…

Q: How many 7-card hands are possible with a 21-card deck? The number of 7-card hands possible is

A:

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: From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible if:…

A:

Q: Kristen's financial advisor has given her a list of 11 potential investments and has asked her to…

A: Given that, Kristen's financial advisor has given her a list of 11 potential investments and has…

Q: A pet store surveyed 178 people to see how many own a bird and how many own a cat. The Venn diagram…

A: Given data, No of bird owners =37 No of cat owners=28 Bird & cat owners =39 No bird or cat…

Q: In how many ways can you draw a diamond or a face card from an ordinary deck of playing​ cards?

A: There are in all total 52 cards in an ordinary deck of playing cards. Out of which 13 are diamond…

Q: You are playing a game with a standard 52 card deck. In this game each player gets 3 cards, and the…

A: We can use combinations to find the answer. There are 52 cards and each player gets 3 cards.

Q: Consider drawing a 5-card hand from a standard 52-card deck (note that there are four suits: spades,…

A: In each suit(spade, club, diamond, heart) there are 13 cards. The all possible number of ways in…

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: the game of Cribbage, players are each dealt 6 cards from a standard deck of 52 cards.  How many…

A: Given that  In the game of Cribbage, players are each dealt 6 cards from a standard deck of 52…

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: Find the number of ways a run of seven cards in order of the same sult can be drawn from a standard…

A: a) There are 4 suits in a deck of cards.So we can choose the suit in 4 ways.

Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?

A: Please find attachment for the details solution

Q: 3 How many poker "hands" are there of the form: 000 000 000 00 00 00 00 00 ?

A: The objective is to find the number of poker hands are there in the form.

Q: How many poker “hands” are there of the form:         ?

A: Given problem Given that

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

Q: If applicable to the problem below, please use combination notation, thanks. From a deck of 52…

A: As per guidelines expert have to answer first question three subparts only dear student please…

Q: How many different ways can the letters of ​"knitting​" be​ arranged?

A: We have given the word "knitting" Total number of letters = 8 Repeated letters- No. of n's = 2 No.…

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: ere are four suits: clubs, diamonds, hearts, a ck, Queen, King. The Jack, Queen, and King a arts are…

A: Probability = number of favorable outcomes/ total number of outcomes

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: Consider drawing a 5-card hand from a standard 52-card deck (note that there are four suits: spades,…

A:

Q: In poker, the jack, queen, and king are called "face cards". How many 5-card poker hands contain…

A: In poker the Jack, Queen, and king are called face cards how many 5-card poker hands contain only…

Q: You pick 3 cards in a deck of cards to form a hand. (a) How many hands contain exactly 1 suit? Does…

A: a) In a deck of cards, there are 52 cards.  For this problem, the order does not matter because a…

Q: How many different ways are there to choose a dozen donuts from the 21 varieties at a donut shop

A: The given information is that there are 21 varieties of donuts at a donut shop, and we want to…

Q: From a standard 52-card deck, how many 9-card hands consist of 5 diamonds and 4 clubs? ​

A: