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: a) How many 3-digit numbers that are multiples of 5 can be formed from the six digits 2,3,5,6,7 and…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  HERE USE SELECTION THEORY

Q: How many different arrangements are there for the 10 letters of the name FLORDELIZA?

A:

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: How many different ways a president and a vice president  can be selected from a group of 1414…

A: Total number of candidates = 1414. No. of candidates to be selected =2. Here, while appointing…

Q: How many different committees with 4 members can be formed from a group of 9 students? (Order is not…

A: The information provided in the question are as follows :-Total number of students andNumber of…

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

Q: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

Q: A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 11 choices for an…

A: No.of choices for an appetizer = 6 No.of choices for a entrée = 11 No.of choices for a dessert = 4…

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

A: Here,I have answered for questions a...bacuase as per Bartleby guideline,iam only allowed to solve…

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: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

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

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

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: There are 6 people lining up to get on a bus. If 2 specific persons, among 6, refuse to follow each…

A: The problem is solved using the concept of permutation and combination. Total people = 6

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: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: Four members from a 17-person committee are to be selected randomly to serve as chairperson,…

A: From the provided information, Four members from a 17-person committee are to be selected randomly…

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

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: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

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: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

A:

Q: A child wants to pick 5 balloons from a set of 6 blue and 5 red balloons. Number of ways for picking…

A: Number of blue balloons = 6 Number of red balloons = 5

Q: 7.) How many different ways can you rearrange the letters in the word "Sceptic"? 8.) How many…

A: As per our guidelines we are suppose to do onlyone question7)Given word  is "SCEPTIC"No.of words in…

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: There are 10 books in the box, 4 of them are art books. a) In how many ways can you select 5 books…

A: Concept:

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: It is given that Total number of cookies n = 6 Number of cookies to be selected r = 4

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

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: 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: 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…