At the beginning of a game of chess, the back row consists of two (identical) rooks on the corners, then two knights next to them, then two bishops, and finally a king and a queen in the center. Bobby Fischer, an American chess legend, popularized the idea of randomly shuffled starting positions. In how many distinct ways can the eight pieces above be aligned?

Q: The eleven players of the CHS sepak takraw team are to be photographed for the team's tarpaulin. In…

A: Here, the question is in how many ways can 11 players can be arranged in a row.

Q: In a 5-card poker game, a player is dealt 5 cards. How many poker hands are possible for an ordinary…

A: Given: In a 5-card poker game, a player is dealt 5 cards.  The number of five-card hands that can be…

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

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

Q: In how many ways can a boy arrange his 5 different toys in a row?

A: Given that : To find In how many ways can a boy arrange his 5 different toys in a row?

Q: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

A: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

A:

Q: How many possible​ 5-card hands from a standard​ 52-card deck would consist of the following​ cards?…

A: 52 cards are there in a deck consists of 4 denomination. Each denomination contains 13 cards. 5…

Q: How many ways can the letters of the word MAILBOX be arranged in a row if M and A must remain…

A: We can use permutations to find the solution to this problem. The number of permutations in a set of…

Q: (a) In how many ways can one component of each type be selected? (b) In how many ways can components…

A:

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 software company keeps their important files on a CD, on a flash drive and on a Google drive as a…

A: PCD=0.15Pflash drive =0.35Pgoogle drive = 0.50Pcorrupted / CD = 0.50Pcorrupted / flash drive =…

Q: If a 8 card hand is dealt from an ordinary 52 card deck, in how many of those hands are all 8 cards…

A:

Q: How many different 5-card hands can be dealt from a deck that has 52 different  cards?

A:

Q: games. In how many different orders could they have two wins and two losses in four games?

A:

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: A food company is testing 4 chocolate chip​ cookies, 5 ​crackers, and 6 ​reduced-fat cookies. If…

A: Given : chocolate chip​ cookies : 4 crackers: 5 reduced-fat cookies: 6

Q: A box contains two black balls, labeled 1 and 2, and five white balls, labeled 3, 4, 5, 6, and 7.…

A: One person to get the both balls by 2 different ways

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

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: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: To find out the possible CD-R's

Q: the game of Cribbage, players are each dealt 6 cards from a standard deck of 52 cards.  How many…

A: Given that  In the game of Cribbage, players are each dealt 6 cards from a standard deck of 52…

Q: If six black, five red, four white, and two green disks are to be arranged in a row, what is the…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

Q: In how many ways can a row of three contestants for a TV game show be selected from an audience of…

A:

Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?

A: Please find attachment for the details solution

Q: The Al Baloushi family is selecting a furniture set. A furniture set has a bed, a desk and a…

A: Let us assume that B ; D ; R denotes the event that  1 Bed , 1 desk and 1 dresser are selected  Then…

Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: (a) Determine the number of different groups of seven students can be selected. The number of…

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: A golf-course architect has six linden trees, five white birch trees, and three bald cypress trees…

A:

Q: How many different 5-card hands are possible from a deck of 52 playing cards?

A: Topic- permutations and combinations

Q: In a certain men's tennis tournament, two finalists, A and B, are competing for the title, which…

A: It is given that the first player who win 4 sets will be awarded as winner of the tournament. The…

Q: a. How many different license plates did this system​ allow?   b. More license plate tags were…

A: Given  each license plate contained three letters of the​ alphabet, followed by four digits selected…

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: In poker, a person is dealt 5 cards from a standard 52-card deck. The order in which you are dealt…

A: Given: A person is dealt 5 cards from a standard 52-card deck. The objective is to find the…

Q: A track race has 6 participants. In how many orders could the runners possibly finish

A:

Q: four cards labeled a,b,c and d are randomly placed in four boxes labeled a,b,c, and d. each box…

A: For first card there are 4 choices for next one there will be 3 choices and so on,...

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

A:

Q: Find the number of ways of selecting exactly one of the two best applicants in a selection of two…

A: Given problem Given that

Q: In how many ways can 5 people arrange themselves in a row for picture taking?

A: Given that there are 5 people in a group.

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: a) The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: How many ways can a deck of 52 cards be broken up into a collection of unordered piles of sizes, in…

A: a. Four piles of 13 cards are needed to be selected.  First 13 cards can be selected from 52 cards…

Q: How many 7-card hands that can be dealt off a 52-card deck in which two of the cards are diamonds…

A: The 7 card hands are dealt off a 52 card deck. These 7 cards consist of two diamond cards and 5…

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: In how many ways can 3 men and 3 women arrange themselves in a row for picture taking if the men and…

A: Given: Number of men is, M=3. Number of women is, W=3. The objective is to find the number of ways…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

Q: 6. If there are 12 teams in a basketball tournament and each team must play every other team in the…

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