There are 14 finalists in a singing competition. The top six singers receive prizes. How many ways can the singers finish first through sixth? There are different ways that the singers can finish first through sixth. (Type a whole number.)

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: Mr. Rettie orders a pizza with 5 toppings,chosen from 15 available toppings. In how many ways could…

A:

Q: In how many ways can 10 people be seated on a bench if only 4 seats are available?

A: Given problem Given that   In how many ways can 10 people be seated on a bench if only 4 seats are…

Q: A scholar is choosing six books to take on vacation from a stack of 34. A. How many different…

A: Solution

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

Q: in a qualifying race for a road cycling event, 15 men competed for five slots.How many different…

A: Given The total number of men (competed)=15 The number of slots=5 Apply permutation formula…

Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: A teacher asked how many of her students if they have any relatives living in some of the states…

A:

Q: ?Q12. In how many ways can 9 doctors set in a round table

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Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: How many ways can 9 runners finish a race?

A:

Q: How many ways can 7 people line up in a cafeteria line? How many ways can five people be chosen from…

A:

Q: 5 Brady went to a big parade and saw 42 different marching bands. If each band had an average of(120…

A: Brady went to a big parade and saw 12 different marching bands. Each band had an average of 120…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

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 how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

Q: The university of Montana ski team has 8 entrants in a men’s downhill ski event. The coach would…

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

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: 10 officials were asked to sit in a round table. In How many ways can they be seated?

A: given  10 officials were asked to sit in a round table

Q: If 20 women are entered in the Miss Georgia contest, in how many different ways can the judges…

A: Given that 20 women are entered in the Miss Georgia contest.

Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: a round table?

A: It is given that 11 people have to sit in a round table. Using the circular permutation property, If…

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: There are 13 female board members and 17 male board members. How many ways are there to make a…

Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

Q: In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in…

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Q: A bag contains 15 pieces of candy. In how many ways can four pieces be selected?

A:

Q: How many ways are there to select 47 cards from a standard deck of 52 cards?

A: To find: The number of ways to select 47 cards from a standard deck of 52 cards. Concept used: The…

Q: In how many ways can you arrange 4 people to be seated in a round table?

A:

Q: How many ways can a committee of five be selected from an organization with 40 members? A 805,086…

A:

Q: There are 5 people in a race. In how many different ways can the racers cross the finish line? O 120…

A:

Q: In a race between 18 people, how many ways can the top 5 finishers be arranged? O 1,028,160 8,568 O…

A:

Q: Out of the 13 students, 4 of them are members of SGA. If a committee 6 is chosen, how many ways can…

A: No of ways to form a committee with 0 SGA member = (13-4)C6 = 9C6 = 84. No of ways to form a…

Q: How many 5-card hands are possible from a standard deck of 52 playing cards if the cards are drawn…

A: How many 5-card hands are possible from a standard deck of 52 playing cards if the cards are drawn…

Q: There are 15 students waiting at the bus stop. If the bus can only fit 6 more students, how many…

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Q: The Grossmont College Student Council has 12 members.  How many different groups can be formed to…

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Q: ow many three-member committees can be formed from a group of seven people?

A:

Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets

Q: In a 26 letter alphabet, how many 5 letters ‘word’ are there made up of different letters?

A:

Q: From a club of 24 members, a President, Vice President, Secretary, Treasurer and…

A: Given Data: The number of members in the club is: n=24 Five members such as a president, vice…

Q: In a standard deck of 52 cards, how many cards are either aces or hearts?

A: There is a standard deck of 52 cards. To determine how many cards are either aces or hearts.

Q: Needing assistance with the equation in attached image.  W5.2

A: Here, there are 12 candidates. The possible choices are given below: There are 12 choices for the…

Q: In how many ways can seven students be seated in a round table?

A: We need to arrange 7 students around a circular table.  We have no point on a circular table for…

Q: A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a…

A: Given problem:- A sub sandwich shop offers 22 toppings to choose from. How many ways could a person…

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: In how many ways can three boys can be seated ?on 8 chairs

A: The number of ways to select r objects out of n distinct objects is given by the rule of…

Q: How many distinguishable ways can 3 people be seated around a circular table?

A: The answer is 3! = 6 different ways of  placing these three people in three distinct positions.

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: there are eight girls competing in a ice skating competition.in how many ways can they finish in…

A: Given there are eight girls competing in a ice skating competition

Q: many

A: