If you pick 4 cards without replacement from a standard deck of 52 cards, how many different combinations are possible

Q: At a furniture store, there a 4 different sizes of sofas, 7 different colors of fabric , and 8…

A: Given that, No.of  different sizes of sofas = 4 No.of different colors of fabric =7 No.of different…

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 3 nickels, and a quarter, how…

A: The probability density function of X is obtained below:From the given information, number of coins…

Q: A dog shelter is giving away 11 different​ dogs, but you have room for only 3 of them. How many…

A: From the provided information, A dog shelter is giving away 11 different dogs. There are room for…

Q: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

A: Given: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

Q: A box contains 8 red balls, 8 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen…

A: Given : A box contains 8 red balls, 8 blue balls, and 6 orange balls

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: A typist has 5 letters and 5 addressed envelopes. In how many different ways can the letters be…

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Q: Of 10 possible books, you plan to take 4 with you on vacation. How many different collections of 4…

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Q: How many ways can a delegation of 4 Republicans, 4 Democrats, and 2 Independents be selected from a…

A:

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

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Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

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Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

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Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

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Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: From the deck of 52 playing cards, how many ways can 2 cards be drawn such that one is face card and…

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Q: 4 freshmen and 2 sophomores from a sorority will attend a conference. If the sorority has 14…

A:

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: How many eight digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A: To find the number of ways

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…

A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…

Q: An equestrian club has seven members. If the club wants to select a president, vice president, and…

A:

Q: At a local restaurant, a dinner special consists of choosing a salad, an entree and a dessert. If…

A: If there are 3 choices for salad, 6 choices for the entree, and 4 choices for dessert. At a local…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

Q: How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts

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Q: In a certain beauty pageant, there are 10 equally beautiful and talented candidates. In how many…

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Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: A state makes a license plate with 3 letters followed by 5 numbers. If repetitions are permitted,…

A: To find the different ways in which license plates can be made

Q: Suppose a library has at least 6 copies of mathematics book, at least 6 copies of a physics book,…

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Q: A girl is allowed to pick 5 out of 18 children’s books to take home from the library. In how many…

A: Solution: 1. From the given information, a group of 5 books are to be chosen from 18 children’s…

Q: How many ten-digit telephone numbers are possible if the first three digits must all be different?

A: Given,total no.of digits=10  (0 to 9)

Q: coffee shop offers 14 different types of flavor shots. If a customer can choose any number of flavor…

A: Given a coffee shop offers 14 different types of flavor shots.

Q: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

Q: A business has 26 applicants for a job. How many ways can they pick 7 of the applicants to…

A: A business has 26 applicants for a job. To find how many ways can they pick 7 of the applicants to…

Q: A man has eight shirts and five ties. Assuming that they all match, how many different shirt-and-tie…

A: Given,            A man has eight shirts and five ties.

Q: Suppose you choose 3 cards from a standard 52-card deck. How many different choices are possible if…

A: The n factorial is defined as n!=n·n-1···2·1. There 4 kind of suit in the deck of 52 card and each…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: There are 12 seniors and 8 juniors in the Mercy College Chess Club. In how many ways can a team…

A: From the given information,   There are 12 seniors and 8 juniors in the Mercy College Chess Club.…

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made?

A: Given data: The total numbers of books are n=10. The numbers of novels selected are x=5.

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

A: