There are 54 runners in a race. How many ways can the runners finish​ first, second, and​ third?

Q: Six students are running a race. How many different ways can they come in first, second, third,…

A: From the provided information, Six students are running a race.  The number of ways these six…

Q: This year, there are ten freshmen, eight sophomores, nine juniors, and nine seniors are eligible to…

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Q: This year, there are eight freshmen, nine sophomores, seven juniors, and seven seniors are eligible…

A: There are 8 freshmen, 9 sophomores, 7 juniors and 7 seniors are eligible to be on a committee. Thus,…

Q: How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

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Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: Nine students are to be seated in a row of chairs. How many arrangements are possible if 3 students…

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Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

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

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Q: How many different possibilities are there for 30 athletes to win​ first, second, and third​ places?…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

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Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: This year, there are ten freshmen, seven sophomores, eight juniors, and eight seniors are eligible…

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Q: Bryan decides to have a movie marathon if he has 6 movies he wants to watch but only has time to…

A: Combination: It means selection. If there are n number of item out of which r to be chosen then the…

Q: dog shelter giving away 19 different dogs, but you have room for only 4 of them. How many different…

A: Given data,No of different dogs n=19you have room for only 4 of them r=4How many different dog…

Q: In a race with 8 swimmers, how many ways can swimmers finish first, second, and third?

A: There is total 8 swimmers.

Q: You and nine of your classmates are attending an event. How many ways can you be arranged in a…

A: You and nine of your classmates are attending an event.so total number of classmates  =10

Q: 27 cars are in a race . How many different ways can cars finish in the top 4 positions?

A: Solution Given 27 cars are in race .to find different many ways can cars finish in the top 4…

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

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Q: In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and…

A: Given, numbers of rose plants in 1st, 2nd, 3rd row…… are 23, 21, 19,……..,5

Q: Books: Josephine has seven chemistry books, three history books, and four statistics books. She…

A: number of ways to choose r objects from n different objects  =ncr =n!/[(n-r)!r!]

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: A wedding party consisting of a bride, a groom, two bridesmaids, and two groomsmen line up for a…

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Q: This year, there are ten freshmen, seven sophomores, ten juniors, and eight seniors are eligible to…

A: Followings are the Explanation of the question  Number of ways to select k items from n, nCk= n!/(k!…

Q: Four math clubs go to a conference and meet up for lunch. They introduce themselves to each other…

A: The scenario in which four math clubs go to a conference and meet up for lunch.Every member of each…

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

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Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

Q: igh school classes will be chosen to participate in a school activities survey. There are 21 high…

A: Given:6 high school classes will be chosen to participate in a school activities survey.There are 21…

Q: Eight people are going for a ride in a boat that seats eight people. One person will drive, and only…

A: Given an eight seater boat. We need to find number of seating arrangements possible for 8 people…

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: There are eight swimmers competing in the 500 meter freestyle. In how many ways can they place in…

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Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

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Q: Six boys and five girls seat in round table. How many ways can we arrange them boys have to seat…

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