60 people are at a banquet, 3 participants are selected to win door prizes. If the first person selected received $200, the second person received $100 and the third person received $50, in how many ways can these door prizes be distributed?

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

Q: 1)Tom has 2021 balloons to be evenly distributed among 21 students. If every student receives the…

A: Tom has 2021 balloons .We have distributed in 21 students every students receive balloons…

Q: A company received a shipment of 41 laser printers, including 8 that are defective. 3 of these…

A: Given that , A company received a shipment of 41 laser printers   i.e. Number of sample space = S =…

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

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: How many ways can the Blue, Red, and Yellow ribbons be awarded to the 9 participants of a 10k race?

A: Given,Total no.of participants=9no.of ribbons=3

Q: In the Olympics, there are 8 swimmers in the final race. How many ways can the gold, silver, and…

A: Given there are 8 swimmers, and 3 awards(gold,silver,bronze) Therefore number of ways gold, silver,…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: A delegation of four students is selected each year from a college to attend the National Student's…

A: Given information: A delegation of four students is selected. Therefore, x=4 a.) Here, we need to…

Q: how many combinations are possible? assume the items are distinct. 16 items chosen 16 at a time

A: Only one combination is possible.

Q: 2. A teacher wants to randomly choose 5 people from the class of 30 to help out at the open day BBQ.…

A: No.of students in a class, n = 30 No.of people chosen from the class to help out at the open day…

Q: How many combinations are possible? Assume the items are distinct. 5 items chosen 3 at a time…

A:

Q: how many different ways can a coach choose three players from 8 bench players to replace 3 of the 5…

A: He can select 3 of the 5 starting players in 5C3=10 ways. He can select 3 of the 8 bench players in…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: 4 freshmen and 2 sophomores from a sorority will attend a conference. If the sorority has 14…

A:

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: Solution: From the given information, the number of films entered is 40 and a team of judges is to…

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: One hundred draws are made at random with replacements from a box. (a) If the sum of the draws is…

A:

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 survey of 24 college students, it was found that 8 were taking an English class, 12 were taking…

A:

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: in how many ways can 6 marbles be distributed among 3 boxes7

A:

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: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: There are 6 runners in a race. In how many ways can 3 runners finish in first, second, and third to…

A:

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: How many combinations are possible? assume the Items are distinct. 5 items chosen 2 at a time

A: C(n,r) = n! /{r! (n-r)!}

Q: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. In how…

A: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. I Total…

Q: (b) From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: a group of 52 store customers. 3 persons are to be selected, need to find total way exactly 3 store…

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

A:

Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

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: How many ways can you choose 5 out of 10 friends to invite to a dinner party?

A: To solve the problem of combinations (selections) in the given scenario.

Q: A marketing company did a survey to find out what kinds of soda people drink. The survey found that…

A:

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: How many ways can 7 different contracts be distributed amongst 11 different​ firms, if any one firm…

A: According to the fundamental principle of counting, if one thing can be done in m ways and another…

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: The total number of films  =40  the number of ways to give first prize  is    =40 the number of ways…

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

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

Q: How many ways can we award a 1st, 2nd, and 3rd prize among 5 contestants?

A: The total number of contestants is 5. To find the number of ways can we award a 1st, 2nd and 3rd.…

Q: there are 15 horses in a race, how many possibilities are there for the win, place, and show (first,…

A:

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

A: Solution: From the given information, there are six automobiles.

Q: 4. How many ways we can choose champion, first runner -up and 2 runner-up out of 20 participants?

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

Q: In how many ways can 6 marbles be distributed among 3 boxes?

A: According to the provided information, we need to distribute 6 marbles among 3 boxes.

Q: At a birthday party 34 guests are in attendance and 4 of them are randomly chosen to each receive a…

A:

Q: rom the 7 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 4…

A: It is given, Number of male representatives is 7, Number of female representatives is 6, A team of 8…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.