In a certain men's tennis tournament, two finalists, A and B, are competing for the title, which will be awarded to the first player to win three sets. In how many different ways can the match be completed? X ways

Q: In how many ways can 8 boys and 7 girls be arranged on a bench if: a. boys and girls are in…

A: There are : 8 boys and 7 girls We will use the principle of permutation and combination here The…

Q: teacher wants to write an ordered 6-questi rom a pool of 10 questions. How many diffe orms of the…

A: In how many different forms of the test can the teacher write:

Q: How many ways can you get a four of a kind in a five card hand? Four of a kind is where you receive…

A: The number of ways to get a four of a kind in a five card hand is,

Q: Investigative Team The state narcotics bureau must form a 5-member investigative team. If it has 30…

A:

Q: From a deck of poker, which contains 52 cards, hands of 10 cards are drawn. How many hands contain:…

A: Probability: In a random experiment, probability indicates how likely an event is going to occur.…

Q: In how many ways can you choose 5 out of 11 people for a game of basketball?

A: In how many ways can you choose 5 out of 11 people for a game of basketball. Here i attached…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of eight Democrats…

A:

Q: Two hundred people each purchased one raffle ticket. Three winning tickets are randomly selected. If…

A:

Q: n how many ways can 6 women and 3 men be seated in a row of 9 seats at a movie theatel assuming that…

A: Number of women = 6 number of men = 3

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: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten  we…

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

A: The number of combinations of 4 card from the set of 52 cards is, n=C452=52×51×50×494×3×2×1=270725

Q: A game is played by rolling 2 die, one red and the other blue, then adding the results. (A). How…

A: a) Red die can have total of 6 outcomes (1,2,3,4,5,6) Similarly, the blue die can have 6 outcomes…

Q: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: In how many ways can 8 students be seated in a row if one particular student must always be placed…

A:

Q: (c) Find the number of distinct sets of 5 cards that can be dealt from a deck of 52 cards. () Find…

A:

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: . In a hospital with 20 medical doctors, how many ways can we select 5 at a time to be in the…

A: Number of medical doctors are 20

Q: Seven parking spots in a row are available for a display of new cars at a dealership. If an employee…

A:

Q: Classify the problem as a permutation, a combination, or neither.   At Mr. Furry's Dance Studio,…

A: GivenNo.of men=5No.of women=8

Q: 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag stamps, how many stamps…

A: In question, Given that 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag…

Q: A company that makes crayons is trying to decide which  5  colors to include in a promotional…

A: In this question a company that makes crayons is trying to decide which 5 color to include in…

Q: a.) The ice cream in your school canteen is served in a cone, in how many ways can you choose 2-…

A: we have to find given no of ways...

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem   In a…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: How many possible ways can you draw a single card from a standard deck and get either a heart or a…

A: There are total 13 hearts and 13 clubs in a standard deck of 52 cards.

Q: How many ways can a set of 20 cards be divided between 6 players? (No equality condition, and a…

A: Given that there are 20 cards. And 20 cards be divided between 6 players. The objective is to find…

Q: Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

A: Topic- permutations and combinations

Q: A certain ice cream parlor offers twenty flavors of ice cream. You want an ice cream cone with three…

A:

Q: (a) A company that makes crayons is trying to decide which  5  colors to include in a promotional…

A: We have to select 5 mini-box colors  from the collection of 70 colors. Since, we know that selection…

Q: A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel,…

A: (a)   There are 7 bottles of zinfandel and serving order is important. The number of ways selecting…

Q: A bag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be…

A:

Q: Suppose you select five cards from an ordinary deck of cards (52 cards). How many different 5 card…

A: Total number of cards = 52 To select the cards = 5 To find different 5 card holders are there

Q: customer at a bookstore is choosing four paperback novels to take on a trip, from a shelf containing…

A: We have to find no. Of combinations possible.

Q: From a class containing 5 boys and 6 girls a group of 5 students is to be selected. There are how…

A: We have given that Number of boys = 5 Number of Girls = 6 We have to select 5  students

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: In a bridge game, a hand consists of 13 cards taken from a deck of 52 cards. (i) A hand is balanced…

A: Total number of cards in the deck = 52 Number of suits = 4 Number of cards for each suit = 13

Q: You are running in a marathon with 28 total racers in which first, second, and third place are…

A: We have to find total outcomes for this race.

Q: Jerry draws a card from a standard 52-card deck with replacement. How many attempts are expected for…

A: Given, Total 52 Cards in a deck

Q: A young boy asks his mother to get 5 game-boy cartridges from his collection of 15 arcade and 9…

A:

Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

A: Given that the Senate committee consists of 7 Democrats and 7 Republicans. Thus, the total number of…

Q: A computer randomly selects three different numbers from between 1 and 100. In how many ways can…

A: Fro 1 to 100 : Different numbers available = n = 100 Numbers are different  100 numbers available…

Q: How many ways are there to seat 7 people at a round table in the following two different situations?…

A: Given that Number of persons to sit at a round table = 7

Q: As a fundraiser, a local GAA club runs a lotto-type draw in which 4 numbers are drawn from 20. As…

A: a) Given: Total No's=20 No's drawn=4

Q: 25. In a tennis tournament with 18 players, how many possible matchups (one-on-one) are there?

A:

Q: coffee shop offers 10 different types of flavor shots. If customer can choose any number of flavor…

A:

Q: A bag contains 6 red 5 blue and 4 yellow marbles. two marbles are drown but the first marble drawn…

A: Given Information: A bag contains 6 red 5 blue and 4 yellow marbles. If two marbles are drawn at…

Q: A classroom has 20 seats and 18 students. (a) How many different ways are there to select any 2…

A: a)Number of ways to select any 2 seats from the 20 available is 20C2 ways = 190 ways

Q: How many ways can you choose a four, a nine, or a jack from a deck of 52 cards

A: There are  total 52 cards in deck  In which total 4 jack  4 four 4 nine

Q: A bakery has 12 different fancy cakes. In how many ways can 6 of the 12 fancy cakes be lined up in a…

A: We have to use permutation m