There are 12 finalists in a singing competition. The top four singers receive prizes. How many ways can the singers finish first through fourth? There are different ways that the singers can finish first through fourth. (Type a whole number.)

Q: a) A mother duck lines her 9 ducklings up behind her. In how many ways can the ducklings line up?

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: A corporation has seven members on its board of directors. In how many different ways can it elect a…

A: A president, vice-president, secretary, and treasurer are 4 different positions.  So we will have to…

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

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

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Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…

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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: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

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: 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 survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: At a corporate dinner, five people including the president and vice president are sitting around a…

A: a) If 5 people sit on a circular table then the number of permutations will be 4!=24 b) If President…

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: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

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: 1) If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: The formula for n! is n(n – 1)(n – 2)…..3.2.1, where n is positive integer.

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: 1. How many students like either Realistic Fiction, Mystery or both? 2. How many children like all 3…

A: Hi, Thank you for the Question. Since you have posted multiple questions we will answer the first…

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: 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: A. How many ways can 7 people line up in a cafeteria line? B. How many ways can five people be…

A:

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

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: 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: five singers are to perform on a weekend evening at a night club. how many different ways are there…

A: The number of ways is there to schedule their appearances is,

Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

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

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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: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

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: If 6 horses are racing at a track, how many ways can 3 horses take place in the top 3 places? O 18 O…

A: Given: Number of horses = 6

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: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. 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 city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

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: 14 people try out for a basketball team, how many different ways are there to select 5 players if…

A: Given information: Total number of people who try out for a basketball team(n)=14. Number of…

Q: In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9…

A: Let nM and nB be the number of families own minivans and the number of families own BMW sedans…

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: In a group of some people, 145 people can speak English and 90 can speak French and 55 can speak…

A: a). Therefore there are 180 people in the group.

Q: 10) Out of the 7 finalists, how many ways can we give awards for First, Second, and Third? O 210 105…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.