In a race and which six automobiles are entered and there are no ties, and how many ways can the first three finishers come in?

Q: In a race in which eleven automobiles are entered and there are no ties, in how many ways can the…

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Q: In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both…

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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: A bride is choosing a dress for her bridesmaids. If there are 2 styles, 5 colors, and 3 fabrics, in…

A: Given that  A bride is choosing a dress for her bridesmaids. Number of styles = 2 Number of colors =…

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: Thirteen people are entered in a race. If there are no ties, in how many ways can the first three…

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Q: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

A: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: In a race in which eight automobiles are entered and there are no ties, in how many ways can the…

A: We have to find nom of ways to comes up first three positions.

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: In how many ways can you 9 players be choosen from a team with 14 members?

A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.

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: In how many ways can two cards be drawn from a deck of cards?

A: Given that  Total number of cards=52 2 cards are drawn  Find the number of ways

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: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

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Q: Suppose 15 cars start at a car race. In how many ways can the top 3 cars finish the​ race? The…

A: Permutations: The number of permutations of r items selected from n items is, Prn=n!n-r! In this…

Q: Twelve people compete in a downhill ski race. Assuming that there are no ties, in how many different…

A: Solution: If there are n objects and are arranged with the order r, then the permutation should be…

Q: In how many ways can five people boarding a bus be seated if the bus has seven vacant seats?

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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: In a race in which eleven automobiles are entered and there are no ties, in how many ways can the…

A: Total number of ways that the first three finishers will come in are

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 ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and…

A: Different ways can  5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and 3 out…

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: A baseball team is having a walk-on tryout camp for players. Thirty-four players show up at camp,…

A: Number of players (n) = 34 Coaches choosing only (r) = 3 By using combination formula

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: In a race in which ten automobiles are entered and there are no ties, in how many ways can the first…

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Q: In a race in which twelve automobiles are entered and there are no​ ties, in how many ways can the…

A: This question can be solved using the concept of fundamental principle of multiplication.

Q: How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize…

A: We have to select a first-prize winner, a second -prize winner and a third-prize winner form 50…

Q: Six players are to be selected from an 11​-player baseball team to visit schools to support a summer…

A: No. Of total students = 11 No. Of player to select = 6.

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

A: Topic- permutations and combinations

Q: 6. In the Camarillo Air Race eight planes are entered and there are no ties, in how many ways can…

A: We will use the simple layman approach to the problem.

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

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Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

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: Ten horses are entered in a race. If the possibility of a tie for any place is ignored, in how many…

A: given Ten horses are entered in a race. If the possibility of a tie for any place is ignored,   we…

Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

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Q: 2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many different orders can…

A: 2. There are 4 people Dylan,Andrew,Hailey and Jordan Here The places are also 4 The race are start…

Q: In how many ways can 8 students be seated in a row if two particular students must never be seated…

A: In the given problem we have to  find in how many ways can 8 students be seated in a row if two…

Q: In how many ways can we seat 7 people at a round table with a certain 3 people side by side?

A:

Q: In how many ways can a person invite 3 out of their 11 closest friends to a dinner party?

A: Given ,        No of closet friends=11

Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…

Q: How many possibilities are there for the win, place, and show (first, second, and third) positions…

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Q: In how many ways can five pictures be selected from a group of nine different pictures?

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Q: Suppose there are 14 people from which you can choose a President, Vice President, and a Treasurer.…

A: The number of people is 14.

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

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

A: Given that the student has a list of 10 books from which he has to select 2 books

Q: Ten people wish to play in a basketball game. In how many different ways can two teams of five…

A: To find: How many different ways can two teams of five players each be formed among ten people