These are all related to permutations, so I hope all three can be answered per your ruling. Thanks! - You have been asked to judge an art contest with 20 entries. In how many ways can you assign 1st, 2nd, and 3rd place? - How many words can we make by rearranging the letters of the word PHILIPPINES? - There are 10 people in a dinner gathering. In how many ways can they sit around a dining table if they can sit on any of the chairs?

Q: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

A:

Q: 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible…

A: We have to solve question number 8

Q: In how many ways can an adviser assign a different task to 9 students from a class of 15?

A: Here we need to assign a different task then we would use combination.   Combination formula: C(n,r)…

Q: 17. You go to lunch and decide to order the daily special. The server informs you that it comes with…

A: This problem will be solved by the formula of Combination as in this case the ordering of the…

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: The Greenbush Bakery is holding a sale on doughnuts. They sell 6 varieties: apple cider vinegar,…

A: Given: The number of varieties of doughnuts = 6 (apple cider vinegar, sour cream, cherry, caramel,…

Q: topic: permutation/combination   a club has 11 members a. how many different 2 member committees…

A: From the provided information, A Club has 11 members.

Q: 1. When ordering a pizza from Alberto's, you were asked first to choose a type of crust: thin or dep…

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

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: 9. A quiz consists of five multiple-choice questions. Each question has four possible answer…

A: A quiz consists of five multiple choice questions. Each question has four possible answer…

Q: Using the concept of counting techniques, what will be the solution and answer #6

A: Permutations and combinations: When one has to choose among a set of objects or people, then…

Q: ✅✅❎♦️♦️♦️♦️

A: To find the number of ways to select a sample of 7 cellphones from a shipment of 23, you can use the…

Q: What's the difference between permutations and combinations 2. There are 14 flavors at the frozen…

A: The first part of the question is asking for the difference between permutations and combinations.…

Q: How many different ways can a group of 5 students line up to get ice cream?

A: This is type of permutation question, because here the order of placing the people in the place…

Q: In how many ways can 15 different pizza toppings be chosen from 22 available toppings? There are…

A: No. of available toppings=22No. of pizza toppings to be chosen=15

Q: 5. How many triangles can you make using 6 non collinear points on a plane?

A: Solution #5 Number of Triangles= 20

Q: A Las Vegas couple is remodeling their home. They would like to paint the interior of their home…

A: Total color available  in shop =13 i.e total outcome=13 We know that Crn=n!r!n-r! Also…

Q: 1. In the beginning there were 13 sitting around King Arthur's round table. How many ways can King…

A: Hi! Thank you for the question. As you have posted multiple independent questions, according to our…

Q: In how many ways can 17 different pizza toppings be chosen from 24 available toppings? ways to…

A: choose 17 different pizza toppings from 24 available toppings. no. of ways to choose = ?

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

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

A:

Q: A jewelry store chain with 5 stores in state A, 12 stores in state B, and 11 in state C is planning…

A:

Q: How many different arrangements of the word PARRAMATA are possible?

A: (4) Given word PARRAMATA

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: a football  tryout From a group of 15 people, a team  of 12 people is selected. In how many…

A: We havevto find no. Of combinations possible.

Q: A restaurant offers a $12 dinner special that has 4 choices for an appetizer, 11 choices for an…

A: given data  4 appetizers  11 entree 3 dessert   we have to select an appetizer,entree and dessert…

Q: Using the concept of counting techniques, what will be the solution and answer #4

A: Permutations and combinations: When one has to choose among a set of objects or people, then…