2 playing cards; how many 5-card poker hands containing exactly 3 aces are possible? How many 5-card poker hands containing 3 of a kind are possible?

Q: State if this scenario involves a permutation or a combination. Then find the number of…

A: The student body of 10 students wants to elect a president, vice president, secretary, andtreasurer.…

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: 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 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: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: In a poker game, a player is dealt a 9 card "hand" from a deck of 52 distinct cards. How many…

A: Total number of distinct cards are 52 Number of cards to be chosen are 9 Given the cards are…

Q: A fair coin was rolled 6 times with each outcome either head or tail. How many possible outcomes for…

A: The step by step solution of the given problem is as follows:

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

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

A:

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: Given that, The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards Order…

Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of 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: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Number of cards in a deck are 52 Number of queen cards in a deck are 4. Number of cards being…

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 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: 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 7​-card hands can be selected from an ordinary​ deck

A: 52C7=133,784,560

Q: How many 5-card hands can be chosen from a deck of cards?

A:

Q: 9. Find the value of n. nP5 = 6(nP3) Enter your math answer

A: As per guideline expert have to answer first question only dear student please upload other question…

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

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.