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: Consider the five letters a,b,c,d,e. In how many distinct ways can three letters be selected and…

A: Permutation:         The act of arranging the members of a set into an order or sequence, if it is…

Q: 1.) How many ways may 4 cards be drawn randomly from a deck of 52 cards? 2.) How many ways may 5…

A: Solution-: We find, (1) How many ways may 4 cards be drawn randomly from a deck of 52 cards? (2) How…

Q: A student is given a reading list of ten books from which he must select four an outside reading…

A: The total number of books in the reading list is 10. The student has to select 4 books out of 10…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: There are 12 athletes joining the Marathon therefore the places can be chosen as follows: The first…

Q: In a standard deck of 52 cards, how many different four-card hands can be formed with at most 2…

A:

Q: (a) If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word,…

A: Here as PER POLICY  I HAVE CALCULATED  1ST main question only    9 letter word selected from total…

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: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: To find n(S), determine the number of ways to choose five-card hands from a pack of 52 cards.…

Q: 22. How many ways may 4 cards be drawn randomly from a deck of 52 cards?

A: Query- How many ways may 4 cards be drawn randomly from a deck of 52 cards. Answer- , As we are…

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: In how many ways can a hand of 9 diamonds be chosen from an ordinary​ deck?

A: There are total 13 diamonds in a pack of 52 cards9 diamonds be chosen in 13C9 ways.Required…

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

A: Hello there! Thank you for the question. According to our honor code can answer only three sub parts…

Q: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10. a. How many…

A: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10.   a. Number of…

Q: How many ways are there to distribute 18 different toys among four children? a) Without…

A: WE ARE TO DISTRIBUTE 18 TOYS AMONG 4 CHILDREN.

Q: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

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: 1. How many attended only the FSU-Butler game? 2. How many did not attend the Marist, Butler, or…

A: Given that the total number of people is 445. To find: Number of people who attend only FSU-butler…

Q: How many arrangements are there if 8 playing cards are drawn from a deck of 52 cards?

A: If 8 cards are to be drawn from 52 cards, then n=52 and r=8.

Q: 1. In how many ways can eight people be seated at a round table? In how many ways can eight keys be…

A: We will use concepts of combination and permutation  to get the solution

Q: (a) In how many ways could you arrange eight books on a shelf? (b) Would it be feasible to list the…

A: We have to find corrcet answer...

Q: (a) In how many ways can a standard deck of 52 cards be shuffled? (b) In how many ways can the cards…

A:

Q: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: 3. If ice cream is served in a cone, in how many ways can Abby choose her three-flavored ice cream…

A:

Q: 1: In a competition of 50 professional ballroom dancers, 22 competed in the fox-trot competition, 18…

A: As per our guidelines we can answer only one question. please repost other seperately.

Q: 7. Given 10 different English books, six different French books, and four different German books,…

A: Given Data: n(English)=10 n(French)=6 n(German)=4 Total=20

Q: In how many different ways can 17 faculty members form a panel consisting of a​ Chair, a Vice​…

A:

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

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

A:

Q: b.How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5…

A:

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: (a) If a student must answer 8 of 12 questions on an examination, how many different selections of…

A: Given:  A student must answer 8 of 12 questions on an examination  To find:a) The different…

Q: Given the word PERINGKAT, a. How many arrangements can be made if all the letters are used? b. In…

A:

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: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: Note: As per the guidelines, we are only allowed to solve 1 question at a time, please post the…

Q: How many ways are there to draw a heart or queen from a standard deck of 52 cards?

A: Given that 52 cards

Q: In how many ways can seven students be seated in a round table?

A: We need to arrange 7 students around a circular table.  We have no point on a circular table for…

Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…

A: Given ,  In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said…

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: In how many ways can the Principal and the 8 Headteachers of the different departments be seated in…

A:

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

A:

Q: In how many ways can three hearts be drawn from a deck of cards? (Order is not important.) _____…

A: Given: There are 13 hearts in total

Q: In how many ways can a group of eight persons arrange themselves around the circular table?

A:

Q: (a) In how many ways could you arrange NINE books on a shelf? (b) Would it be feasible to list the…

A: The permutation is the mathematical techniques, which is used to determine the number of possible…

Q: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…

Q: A major league baseball team has 40 players of which 25 are considered active. a.) How many ways are…

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

Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

A:

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

A:

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…

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.