4) Consider a deck of playing cards a) How many ways can we choose a five card hand? b) How many ways can we choose a five card hand of all face cards? c) How many ways can we choose a hand where 3 cards are 10 or less and 2 cards are face cards?

Q: given a standard 52 card deck, how many possible hands have 2 face cards and 1 distinct, order…

A: There are 12 face cards in a 52 card deck.The number of ways to choose 2 face cards from these 12…

Q: a) How many 3-digit numbers that are multiples of 5 can be formed from the six digits 2,3,5,6,7 and…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  HERE USE SELECTION THEORY

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: In how many ways can you 9 players be choosen from a team with 14 members?

A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.

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: gel shop has onion bagels, cinnamon bagels, plain bagels, and sesame bagels. How many ways are there…

A: Solution:

Q: How many ways are there to choose four aces from a standard 52-card deck? How many ways are there to…

A: Number of aces = 4 The number of ways choosing 4 aces is ways = 4! ways= 4 x 3x 2x 1 ways = 24

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: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

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

A:

Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

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: How many ways are there to deal a hand of 4 cards if you dont care about the order of cards in your…

A: In a standard deck of cards, there are total 52 cards.

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: 9) The cards (24 total). There are 4 cards for each type, and they are divided into four different…

A: The number of ways to choose r objects out of n objects can be obtained using the combination…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color…

A: Total number of cards in a deck = 52 Number of 9 of hearts  = 1 Number of spades card = 13 Number of…

Q: a) In how many ways can a baseball team of 9 players be chosen from 6 men and 6 women if there are…

A: From the provided information, Total men = 6 Total women = 6

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: You draw two cards from a standard deck of 52 cards without replacing first one before drawing the…

A: Let the first event of drawing a 5 be denoted by A. Then the probability of drawing a 5 isPA=452=113…

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: 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: A poker game requires players to draw a card and roll a die. The combination of card and die will…

A: Let there be x types of item A and y types of item B . Then, the number of different combinations of…

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: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

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: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…

A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…

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:

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.