a) How many three digit numbers are there that are not divisible by 5? b) there are 12 contestants in a TV-show. Two will receive trips around the world, four will receive cars , and six will receive TV sets. In how many different ways the prize can be awarded? c) In hoy many ways can 20 people be divided in groups of 5 each? d) In how many ways can three movies be selected from a choice of four sci-fi and five horror movies? e) In how many ways can a selection of at least two ties be made from a set of 5 ties?

Q: There are 55 runners in a race. How many ways can the runners finish first, second, and third? There…

A: given data number of runners = 55 we have to find no. of ways to finish first ,second and third…

Q: How many different ways are there to select three dozen colored roses if red, yellow, pink, white,…

A: Solution-:Given: Available roses - red, yellow, pink, white, purple, and orange We want to find how…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Given, There are nine female students and seven male students. We want to select eight students.

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: An election ballot asks voters to select six city commissioners from a group of sixteen candidates.…

A: An election ballot asks voters to select six city commissioners from a group of sixteen candidates.

Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

Q: How many ways are there to pick a five-person basketball team from 12 possible players? How many…

A:

Q: There are 14 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: Given there are 14 finalists in a singing competition the top 4 singers receive price

Q: The Liberty County Poetry Society awarded 3 different prizes 1 each for 1st, 2nd, and 3rd place…

A: The first prize can be given in 56 ways Second prize in 55 ways Third prize in 54 ways

Q: There are 12 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 12 finalists in a singing competition. The top four singers receive prizes.

Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: There are 42 runners in a race. How many ways can the runners finish first, second, and third? There…

A: there are 42 runners in a rece we have to find out the no. of ways can finish first, second and…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: There are 14 finalists in a singing competition. The top six singers receive prizes. How many ways…

A: Given data: 14 = finalists  in singing competition Top six singers receives price. To find: How many…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

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: 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: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

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: 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: Kim, Dan, and Pat are finalists in a talent contest. How many different ways can Kim, Dan, and Pat…

A: Given data, Only one position for First place and only one position for Second place in a contest.…

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: In a survey of 359 people, a pet food manufacturer found that 23 owned a dog but not a cat, 140…

A:

Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: A group of 10 people is choosing a chairperson and vice-chairperson.  They put all 10 people's names…

A: From the provided information, Total people in group = 10 They are choosing a chairperson and…

Q: Find the permutation. From 1650 raffle entries, five entries will be chosen for first, second,…

A:

Q: There are 16 teams in each conference in professional football, and 6 make the playoffs each year.…

A: The number of teams (n) is 16 and the number of playoffs for each year (r) is 6.

Q: Suppose that 15 athletes are competing in a final at the Olympics. In how many ways can the medals…

A: Given: 15 athletes are competing in a final at the Olympics. The objective is to find the number of…

Q: There are 58runners in a race. How many ways can the runners finish​ first, second, and​ third? How…

A: From the provided information, There are 58 runners in a race. The runners finish first, second and…